Pith Number

pith:77M5L2AA

pith:2012:77M5L2AAOOLR2WNO322WBBHLYM

not attested not anchored not stored refs pending

Caustic echoes from a Schwarzschild black hole

An{\i}l Zengino\u{g}lu, Chad R. Galley

arxiv:1206.1109 v2 · 2012-06-06 · gr-qc · astro-ph.HE · hep-th · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77M5L2AAOOLR2WNO322WBBHLYM}

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.

Receipt and verification

First computed	2026-05-18T03:44:36.795547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd9d5e80073971d59aedeb56084ebc30e223203030b72f24c31adddf34f9de0

Aliases

arxiv: 1206.1109 · arxiv_version: 1206.1109v2 · doi: 10.48550/arxiv.1206.1109 · pith_short_12: 77M5L2AAOOLR · pith_short_16: 77M5L2AAOOLR2WNO · pith_short_8: 77M5L2AA

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/77M5L2AAOOLR2WNO322WBBHLYM \
  | 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: ffd9d5e80073971d59aedeb56084ebc30e223203030b72f24c31adddf34f9de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00e32896315dda1c91be8a13293624ab7f9c4937f1367d3f4a83b974ed1f5c33",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-06-06T02:32:34Z",
    "title_canon_sha256": "0c5ae19b4fd5c6d1a5d919cfe5bf7fed18405c5cfe174423b1a912726c7b18ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1109",
    "kind": "arxiv",
    "version": 2
  }
}