Pith Number

pith:CAT63HIX

pith:2008:CAT63HIX22PFOC5AFKGZWGYJ6S

not attested not anchored not stored refs pending

Fermions Tunneling from Apparent Horizon of FRW Universe

Dun-Fu Shi, Ji-rong Ren, Ran Li

arxiv:0812.4217 v1 · 2008-12-22 · 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{CAT63HIX22PFOC5AFKGZWGYJ6S}

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

Scalar$-$Tensor Gravity as a Probe of Generalized Black Hole Entropy

Receipt and verification

First computed	2026-05-18T02:35:08.602068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1027ed9d17d69e570ba02a8d9b1b09f49601675a32bf3077deda2df468bc720d

Aliases

arxiv: 0812.4217 · arxiv_version: 0812.4217v1 · doi: 10.48550/arxiv.0812.4217 · pith_short_12: CAT63HIX22PF · pith_short_16: CAT63HIX22PFOC5A · pith_short_8: CAT63HIX

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/CAT63HIX22PFOC5AFKGZWGYJ6S \
  | 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: 1027ed9d17d69e570ba02a8d9b1b09f49601675a32bf3077deda2df468bc720d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd2ea91cd67c1bb796df2fe41d0848ee81ae0d93a48893637630c3942752271b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-12-22T15:25:45Z",
    "title_canon_sha256": "7dacacf269c9913c6e168f8e7e69ab0d23e8547cd5f0e23953a32dcb993a49e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4217",
    "kind": "arxiv",
    "version": 1
  }
}