Pith Number

pith:KRC4UER5

pith:2017:KRC4UER5CL7YLUYZ7XHIGSGLYV

not attested not anchored not stored refs pending

A recipe for echoes from exotic compact objects

Aaron Zimmerman, Song Ming Du, Yanbei Chen, Zachary Mark

arxiv:1706.06155 v1 · 2017-06-19 · gr-qc

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRC4UER5CL7YLUYZ7XHIGSGLYV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

5 papers in Pith

Ringdown and echoes from compact objects: Debye series and Debye quasinormal modes

Plunge spectra as discriminators of black hole mimickers

Reflectionless and echo modes in asymmetric Damour-Solodukhin wormholes

Excitation factors for horizonless compact objects: long-lived modes, echoes, and greybody factors

Can wormholes have vanishing Love numbers?

Receipt and verification

First computed	2026-05-18T00:33:10.136525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5445ca123d12ff85d319fdce8348cbc57bb3f5885f7952bdc5738d84c7c98582

Aliases

arxiv: 1706.06155 · arxiv_version: 1706.06155v1 · doi: 10.48550/arxiv.1706.06155 · pith_short_12: KRC4UER5CL7Y · pith_short_16: KRC4UER5CL7YLUYZ · pith_short_8: KRC4UER5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KRC4UER5CL7YLUYZ7XHIGSGLYV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5445ca123d12ff85d319fdce8348cbc57bb3f5885f7952bdc5738d84c7c98582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee2fb6351dd28f8fcf068e4974215d20fd13b12cea1a833ca5a595c09a05868",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-06-19T20:01:01Z",
    "title_canon_sha256": "bfc4cb380061f9cb5fa39129f4dd8f5ff5bc18c18d58ae7fec6bca66dec33a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06155",
    "kind": "arxiv",
    "version": 1
  }
}