Pith Number

pith:3DZ6KITD

pith:2006:3DZ6KITDP33RWWVQ2KMWZD3RZW

not attested not anchored not stored refs pending

Dual of Big-bang and Big-crunch

Dongsu Bak

arxiv:hep-th/0603080 v4 · 2006-03-10 · 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{3DZ6KITDP33RWWVQ2KMWZD3RZW}

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

Holographic entanglement entropy and complexity for the cosmological braneworld model

Receipt and verification

First computed	2026-07-04T15:19:59.035353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f3e522637ef71b5ab0d2996c8f71cdbaaa8eda3f5876b8ef822f43353070f3

Aliases

arxiv: hep-th/0603080 · arxiv_version: hep-th/0603080v4 · doi: 10.48550/arxiv.hep-th/0603080 · pith_short_12: 3DZ6KITDP33R · pith_short_16: 3DZ6KITDP33RWWVQ · pith_short_8: 3DZ6KITD

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/3DZ6KITDP33RWWVQ2KMWZD3RZW \
  | 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: d8f3e522637ef71b5ab0d2996c8f71cdbaaa8eda3f5876b8ef822f43353070f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8caa0c5d22629c3719da113fc0f468cd3b66b64a6753495f1d7fe4a8e84aba45",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-03-10T14:37:46Z",
    "title_canon_sha256": "72f79232735c001a611e1bc0fb26f426245a731ed0934c7d7d207c765835feb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0603080",
    "kind": "arxiv",
    "version": 4
  }
}