Pith Number

pith:2J2HMVTW

pith:2005:2J2HMVTW5CN74XXHTWEIL2O7CD

not attested not anchored not stored refs pending

Ricci flow on locally homogeneous closed 4-manifolds

James Isenberg, Martin Jackson, Peng Lu

arxiv:math/0502170 v1 · 2005-02-08 · 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{2J2HMVTW5CN74XXHTWEIL2O7CD}

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	2026-07-04T14:39:35.791749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d274765676e89bfe5ee79d8885e9df10ea7fb5309de85fd16a3f01daac91a5a3

Aliases

arxiv: math/0502170 · arxiv_version: math/0502170v1 · doi: 10.48550/arxiv.math/0502170 · pith_short_12: 2J2HMVTW5CN7 · pith_short_16: 2J2HMVTW5CN74XXH · pith_short_8: 2J2HMVTW

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/2J2HMVTW5CN74XXHTWEIL2O7CD \
  | 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: d274765676e89bfe5ee79d8885e9df10ea7fb5309de85fd16a3f01daac91a5a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4399a54544cea8f9aec2a3b04cdc70f87c168da0ca5434cab2257c1b0a5c0d76",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-02-08T17:13:34Z",
    "title_canon_sha256": "1e287cfdb79fe64759ff04a2905fb010eb67f3bb50dae86b1d14ab6ce5967751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502170",
    "kind": "arxiv",
    "version": 1
  }
}