Pith Number

pith:FAHIENDA

pith:2010:FAHIENDA4D2SK2TO5SGFSZ3FJK

not attested not anchored not stored refs pending

Ricci expanders and type III Ricci flow

Li Ma

arxiv:1008.0711 v1 · 2010-08-04 · 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{FAHIENDA4D2SK2TO5SGFSZ3FJK}

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	2026-05-18T04:42:35.802692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

280e823460e0f5256a6eec8c5967654a870e491fdd451ea379bf51d1d33ab4c4

Aliases

arxiv: 1008.0711 · arxiv_version: 1008.0711v1 · doi: 10.48550/arxiv.1008.0711 · pith_short_12: FAHIENDA4D2S · pith_short_16: FAHIENDA4D2SK2TO · pith_short_8: FAHIENDA

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/FAHIENDA4D2SK2TO5SGFSZ3FJK \
  | 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: 280e823460e0f5256a6eec8c5967654a870e491fdd451ea379bf51d1d33ab4c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfde4aa2d99c44dc6b7caddeb32c863c1bfaad4041057e16fcd3874640a86bf2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-08-04T07:29:16Z",
    "title_canon_sha256": "d3fab21fbeea6c59fb8f4d7f709857a09b1eb5752f9e4a544d516518bcf077fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0711",
    "kind": "arxiv",
    "version": 1
  }
}