Pith Number

pith:XV36K75R

pith:2021:XV36K75RIESKSQSJIR4XC5UTSM

not attested not anchored not stored refs pending

On the Page curve under final state projection

Ibrahim Akal, Shan-Ming Ruan, Tadashi Takayanagi, Taishi Kawamoto, Zixia Wei

arxiv:2112.08433 v2 · 2021-12-15 · 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{XV36K75RIESKSQSJIR4XC5UTSM}

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

2 papers in Pith

Monitoring a de Sitter universe through an anti-de Sitter window

A Tale of Two Hartle-Hawking Wave Functions: Fully Gravitational vs Partially Frozen

Receipt and verification

First computed	2026-07-05T04:39:24.903239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd77e57fb14124a94249447971769393013b52277094bcb8c92a53cc123fa06e

Aliases

arxiv: 2112.08433 · arxiv_version: 2112.08433v2 · doi: 10.48550/arxiv.2112.08433 · pith_short_12: XV36K75RIESK · pith_short_16: XV36K75RIESKSQSJ · pith_short_8: XV36K75R

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/XV36K75RIESKSQSJIR4XC5UTSM \
  | 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: bd77e57fb14124a94249447971769393013b52277094bcb8c92a53cc123fa06e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaa88e156eb918b84bb4b661bb8132ebb09a821d3d89e76547892f15b6d6e902",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-15T19:20:38Z",
    "title_canon_sha256": "90c46a0e5c090afe1f421c9fc10ade002ff2eb6c6bea05795547530f5ef5da5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.08433",
    "kind": "arxiv",
    "version": 2
  }
}