Pith Number

pith:PCCWQ4TY

pith:2004:PCCWQ4TYYF5GQEUQLCUUYKTR6X

not attested not anchored not stored refs pending

Non-ancient solution of the Ricci flow

Qihua Ruan, Zhihua Chen

arxiv:math/0408423 v1 · 2004-08-30 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCCWQ4TYYF5GQEUQLCUUYKTR6X}

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	2026-05-18T01:38:27.182036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7885687278c17a68129058a94c2a71f5d8139ccbf8a888e75f86bfbaef6b5679

Aliases

arxiv: math/0408423 · arxiv_version: math/0408423v1 · doi: 10.48550/arxiv.math/0408423 · pith_short_12: PCCWQ4TYYF5G · pith_short_16: PCCWQ4TYYF5GQEUQ · pith_short_8: PCCWQ4TY

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/PCCWQ4TYYF5GQEUQLCUUYKTR6X \
  | 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: 7885687278c17a68129058a94c2a71f5d8139ccbf8a888e75f86bfbaef6b5679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c6c7f3e581ca46bc9582f32aad4efa4744365b76be77e3b4c31a2914168cba",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-08-30T23:11:54Z",
    "title_canon_sha256": "933747723a69421b2dced1165d1e48415cbf5ba3dfc6cd89a8b1fbb1ae9d6cc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408423",
    "kind": "arxiv",
    "version": 1
  }
}