Pith Number

pith:7XHLJ5EP

pith:2010:7XHLJ5EP5FRSX6SSV3MTVSHNZQ

not attested not anchored not stored refs pending

On the weighted forward reduced Entropy of Ricci flow

Anqiang Zhu, Liang Cheng

arxiv:1011.0504 v3 · 2010-11-02 · 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{7XHLJ5EP5FRSX6SSV3MTVSHNZQ}

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	2026-05-18T04:26:32.863043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdceb4f48fe9632bfa52aed93ac8edcc0a98dea93c547250dd11de47ef9a7be4

Aliases

arxiv: 1011.0504 · arxiv_version: 1011.0504v3 · doi: 10.48550/arxiv.1011.0504 · pith_short_12: 7XHLJ5EP5FRS · pith_short_16: 7XHLJ5EP5FRSX6SS · pith_short_8: 7XHLJ5EP

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/7XHLJ5EP5FRSX6SSV3MTVSHNZQ \
  | 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: fdceb4f48fe9632bfa52aed93ac8edcc0a98dea93c547250dd11de47ef9a7be4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32de2570d1c401a8afb223d3c74cdb3d09118e3bf5de82464fb2fd4762ba3cfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-02T03:01:16Z",
    "title_canon_sha256": "ae10994f33615a80b26c3bdfeff89a99a46438dbde7eb5853451c1c51585b396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0504",
    "kind": "arxiv",
    "version": 3
  }
}