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Pith Number

pith:77V4DQGK

pith:2010:77V4DQGKKG6SSHSAG22QXAFD3L
not attested not anchored not stored refs pending

Large entropy production inside black holes: a simple model

Andrew J S Hamilton, Gavin Polhemus

arxiv:1006.4195 v1 · 2010-06-22 · gr-qc · astro-ph.CO · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{77V4DQGKKG6SSHSAG22QXAFD3L}

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 2026-05-18T04:04:43.802931Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ffebc1c0ca51bd291e4036b50b80a3dafc532ceffc4936f83e22e298c87420dd

Aliases

arxiv: 1006.4195 · arxiv_version: 1006.4195v1 · doi: 10.48550/arxiv.1006.4195 · pith_short_12: 77V4DQGKKG6S · pith_short_16: 77V4DQGKKG6SSHSA · pith_short_8: 77V4DQGK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/77V4DQGKKG6SSHSAG22QXAFD3L \
  | 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: ffebc1c0ca51bd291e4036b50b80a3dafc532ceffc4936f83e22e298c87420dd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d09be01c49f4dc9775c6960d92860433d6ae44b289214e8d6e11cb11731fb48e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-22T00:39:04Z",
    "title_canon_sha256": "065a2d7a92137d88ef1a9dd2bb84c4d34edf2cd99513066983a3869afc9b559b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4195",
    "kind": "arxiv",
    "version": 1
  }
}