Pith Number

pith:AX5TGFMJ

pith:2006:AX5TGFMJRJ5LNXZXGD3D6WQO7J

not attested not anchored not stored refs pending

Non-singular solutions to the normalized Ricci flow equation

Fuquan Fang, Yuguang Zhang, Zhenlei Zhang

arxiv:math/0609254 v1 · 2006-09-09 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AX5TGFMJRJ5LNXZXGD3D6WQO7J}

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	2026-07-04T14:56:32.765260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05fb3315898a7ab6df3730f63f5a0efa65eb2f323a290efb38374aaa92394fc7

Aliases

arxiv: math/0609254 · arxiv_version: math/0609254v1 · doi: 10.48550/arxiv.math/0609254 · pith_short_12: AX5TGFMJRJ5L · pith_short_16: AX5TGFMJRJ5LNXZX · pith_short_8: AX5TGFMJ

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/AX5TGFMJRJ5LNXZXGD3D6WQO7J \
  | 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: 05fb3315898a7ab6df3730f63f5a0efa65eb2f323a290efb38374aaa92394fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "320e0d5c9232f0a9a33ef44a821ee1e2bca15e6234d6ad3b1737cab1ef1326c2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-09-09T12:32:26Z",
    "title_canon_sha256": "2544c84d3ef1526454c9dc6bca06417ba7e9363fea607be99754506a0ae324fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609254",
    "kind": "arxiv",
    "version": 1
  }
}