Pith Number

pith:3CHBTLNZ

pith:1994:3CHBTLNZZE6DYHZ5AR74U6GR6O

not attested not anchored not stored refs pending

Geometric Entropy, Wave Functionals, and Fermions

Finn Larsen, Frank Wilczek

arxiv:hep-th/9408089 v1 · 1994-08-16 · 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{3CHBTLNZZE6DYHZ5AR74U6GR6O}

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	2026-05-18T01:38:41.448670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d88e19adb9c93c3c1f3d047fca78d1f3bb3c6436de19fb5f9f3c875a42058561

Aliases

arxiv: hep-th/9408089 · arxiv_version: hep-th/9408089v1 · doi: 10.48550/arxiv.hep-th/9408089 · pith_short_12: 3CHBTLNZZE6D · pith_short_16: 3CHBTLNZZE6DYHZ5 · pith_short_8: 3CHBTLNZ

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/3CHBTLNZZE6DYHZ5AR74U6GR6O \
  | 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: d88e19adb9c93c3c1f3d047fca78d1f3bb3c6436de19fb5f9f3c875a42058561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ebc433f1e94fdf6e29ce93ec2c861e61d516362516dc870207e4c0028832b9",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-08-16T12:19:33Z",
    "title_canon_sha256": "ec4e4c97d47ebb1e03f1af65967b915a8e847b122e2fae95c155a891eece6031"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9408089",
    "kind": "arxiv",
    "version": 1
  }
}