Pith Number

pith:MC6WX54D

pith:2021:MC6WX54DCM6XAC73IRO52UOR4H

not attested not anchored not stored refs pending

Entropy and Black Holes in the Very Early Universe

Tom Banks, Willy Fischler

arxiv:2109.05571 v1 · 2021-09-12 · hep-th · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MC6WX54DCM6XAC73IRO52UOR4H}

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	2026-07-05T03:13:40.313571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60bd6bf783133d700bfb445ddd51d1e1ea6e0dac3d31e2817b8e7da8064fef41

Aliases

arxiv: 2109.05571 · arxiv_version: 2109.05571v1 · doi: 10.48550/arxiv.2109.05571 · pith_short_12: MC6WX54DCM6X · pith_short_16: MC6WX54DCM6XAC73 · pith_short_8: MC6WX54D

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/MC6WX54DCM6XAC73IRO52UOR4H \
  | 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: 60bd6bf783133d700bfb445ddd51d1e1ea6e0dac3d31e2817b8e7da8064fef41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaafad506d728b41b54ff478bf0666074019c9cf116579e45fa5a29f816ca730",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-09-12T17:39:28Z",
    "title_canon_sha256": "33fe1ef57261eac36d8b5c22999259fa39e7c6af8ca9706c10f627a1552030da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.05571",
    "kind": "arxiv",
    "version": 1
  }
}