Pith Number

pith:YMFIR4VF

pith:2008:YMFIR4VFVASKDLBKZE76DLRV5B

not attested not anchored not stored refs pending

Hawking radiation as tunneling and the unified first law of thermodynamics at the apparent horizon in the FRW universe

Dan-Tao Peng, Jun Feng, Ke-Xia Jiang, San-Min Ke

arxiv:0812.3006 v4 · 2008-12-16 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMFIR4VFVASKDLBKZE76DLRV5B}

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	2026-05-18T02:15:04.685388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c30a88f2a5a824a1ac2ac93fe1ae35e8445557b95c8a7d8d21762a85ca860a66

Aliases

arxiv: 0812.3006 · arxiv_version: 0812.3006v4 · doi: 10.48550/arxiv.0812.3006 · pith_short_12: YMFIR4VFVASK · pith_short_16: YMFIR4VFVASKDLBK · pith_short_8: YMFIR4VF

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/YMFIR4VFVASKDLBKZE76DLRV5B \
  | 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: c30a88f2a5a824a1ac2ac93fe1ae35e8445557b95c8a7d8d21762a85ca860a66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c154e5f497b674e60be648e850b3ee2cb08ceba2e20dd0ecc1cd65271a05e130",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-12-16T09:11:26Z",
    "title_canon_sha256": "ed52bea5b506d5e2e6fae274836877b92a357d70b66373b19ce549953244498c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3006",
    "kind": "arxiv",
    "version": 4
  }
}