Pith Number

pith:K4RD4VHU

pith:2020:K4RD4VHUUGWFZ3XM4Q4MMT6H36

not attested not anchored not stored refs pending

Echoes from a singularity

Avijit Chowdhury, Narayan Banerjee

arxiv:2006.16522 v3 · 2020-06-30 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4RD4VHUUGWFZ3XM4Q4MMT6H36}

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

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

1 paper in Pith

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms

Receipt and verification

First computed	2026-07-05T02:01:30.643942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57223e54f4a1ac5ceeece438c64fc7dfb658ab6e480ddbb82f86fa4dda979d6b

Aliases

arxiv: 2006.16522 · arxiv_version: 2006.16522v3 · doi: 10.48550/arxiv.2006.16522 · pith_short_12: K4RD4VHUUGWF · pith_short_16: K4RD4VHUUGWFZ3XM · pith_short_8: K4RD4VHU

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/K4RD4VHUUGWFZ3XM4Q4MMT6H36 \
  | 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: 57223e54f4a1ac5ceeece438c64fc7dfb658ab6e480ddbb82f86fa4dda979d6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bedf080e2050602c2c646e89549f0aacb1cc5cb674b9ef0c3e7cac3b9084337",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-06-30T04:35:58Z",
    "title_canon_sha256": "ff17582e4014527618571c809ca7156f91618a8b8fd0760074f3fb5ee2b9da3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.16522",
    "kind": "arxiv",
    "version": 3
  }
}