Pith Number

pith:UY4FRDCS

pith:2007:UY4FRDCSYAXUFMKSKZWXBB333C

not attested not anchored not stored refs pending

The Log Entropy Functional Along the Ricci Flow

Rugang Ye

arxiv:0708.2008 v3 · 2007-08-15 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UY4FRDCSYAXUFMKSKZWXBB333C}

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	2026-05-18T04:09:14.907558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a638588c52c02f42b152566d70877bd8bceab0163c0e586b5f1b5494e69aca72

Aliases

arxiv: 0708.2008 · arxiv_version: 0708.2008v3 · doi: 10.48550/arxiv.0708.2008 · pith_short_12: UY4FRDCSYAXU · pith_short_16: UY4FRDCSYAXUFMKS · pith_short_8: UY4FRDCS

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/UY4FRDCSYAXUFMKSKZWXBB333C \
  | 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: a638588c52c02f42b152566d70877bd8bceab0163c0e586b5f1b5494e69aca72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff6a5561283b235dda4bab0a872f24c8bc01b64bf5ea5075e3a82bd91643f57",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-08-15T08:57:36Z",
    "title_canon_sha256": "e0ef9a031f74c3d93e69d755500d966ae7eb86fb7108ef357990f83624ea99ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2008",
    "kind": "arxiv",
    "version": 3
  }
}