Pith Number

pith:2TRKVOUP

pith:2010:2TRKVOUPJIRJL5DOYSN32TVEP6

not attested not anchored not stored refs pending

Invariance of the Hamilton-Jacobi tunneling method for black holes and FRW model

Kai-Nan Shao, Yi-Xin Chen

arxiv:1007.4367 v2 · 2010-07-26 · hep-th · 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{2TRKVOUPJIRJL5DOYSN32TVEP6}

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	2026-05-18T00:56:47.385773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4e2aaba8f4a2295f46ec49bbd4ea47f895bda8fdbc9790664933bed1074aaea

Aliases

arxiv: 1007.4367 · arxiv_version: 1007.4367v2 · doi: 10.48550/arxiv.1007.4367 · pith_short_12: 2TRKVOUPJIRJ · pith_short_16: 2TRKVOUPJIRJL5DO · pith_short_8: 2TRKVOUP

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/2TRKVOUPJIRJL5DOYSN32TVEP6 \
  | 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: d4e2aaba8f4a2295f46ec49bbd4ea47f895bda8fdbc9790664933bed1074aaea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e06f43c6fd344f845b61d5dd2794c13d77e4c409013f10e7414a057156a2f14d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-07-26T01:50:38Z",
    "title_canon_sha256": "9cb03660edbf839def4c20c812ff00f5f6a0e53c424194969d22d684a000834e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4367",
    "kind": "arxiv",
    "version": 2
  }
}