Pith Number

pith:FPG5XOGJ

pith:2017:FPG5XOGJ5IUIHUGWXOT2BXR3HH

not attested not anchored not stored refs pending

On equivalence between noncollapsing and bounded entropy for ancient solutions to the Ricci flow

Yongjia Zhang

arxiv:1705.07240 v2 · 2017-05-20 · 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{FPG5XOGJ5IUIHUGWXOT2BXR3HH}

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	2026-05-18T00:42:57.235286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bcddbb8c9ea2883d0d6bba7a0de3b39c15c17f66df951ba66195c34d2807597

Aliases

arxiv: 1705.07240 · arxiv_version: 1705.07240v2 · doi: 10.48550/arxiv.1705.07240 · pith_short_12: FPG5XOGJ5IUI · pith_short_16: FPG5XOGJ5IUIHUGW · pith_short_8: FPG5XOGJ

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/FPG5XOGJ5IUIHUGWXOT2BXR3HH \
  | 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: 2bcddbb8c9ea2883d0d6bba7a0de3b39c15c17f66df951ba66195c34d2807597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "996446f4d4fa86f6bea08a855ed8a999d56d46bd7d8db892cc170b9fea7ef388",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-20T01:02:43Z",
    "title_canon_sha256": "6cde1ced32c777feff095d4920b92d2ab4548f8eb6780dceb04ea5e7cb360d25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07240",
    "kind": "arxiv",
    "version": 2
  }
}