Pith Number

pith:S5XNFTDO

pith:2011:S5XNFTDO4POT7NXBTPZYOYICVQ

not attested not anchored not stored refs pending

Entropy of geometric structures

Nguyen Tien Zung

arxiv:1109.5249 v1 · 2011-09-24 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5XNFTDO4POT7NXBTPZYOYICVQ}

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	2026-05-18T04:12:20.252381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

976ed2cc6ee3dd3fb6e19bf3876102ac05713cd1c848d47c34e7be0750967376

Aliases

arxiv: 1109.5249 · arxiv_version: 1109.5249v1 · doi: 10.48550/arxiv.1109.5249 · pith_short_12: S5XNFTDO4POT · pith_short_16: S5XNFTDO4POT7NXB · pith_short_8: S5XNFTDO

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/S5XNFTDO4POT7NXBTPZYOYICVQ \
  | 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: 976ed2cc6ee3dd3fb6e19bf3876102ac05713cd1c848d47c34e7be0750967376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd97ad58d22cf05fc76e5f57b9a3b7900993a1749c4b6bb1471432d8e0f40760",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-24T10:10:46Z",
    "title_canon_sha256": "37160d18c46e82fcd0fad16a1344aa870380ca005719c6cdd72d6055581f40e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5249",
    "kind": "arxiv",
    "version": 1
  }
}