Pith Number

pith:V7IZFMCG

pith:2015:V7IZFMCGTSYMYBVFRBK7PBF7N3

not attested not anchored not stored refs pending

Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature

Qi S. Zhang, Richard H. Bamler

arxiv:1501.01291 v3 · 2015-01-06 · 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{V7IZFMCGTSYMYBVFRBK7PBF7N3}

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	2026-05-18T01:26:31.760789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afd192b0469cb0cc06a58855f784bf6ec761b5eb8f79c71586a8618fd3d12474

Aliases

arxiv: 1501.01291 · arxiv_version: 1501.01291v3 · doi: 10.48550/arxiv.1501.01291 · pith_short_12: V7IZFMCGTSYM · pith_short_16: V7IZFMCGTSYMYBVF · pith_short_8: V7IZFMCG

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/V7IZFMCGTSYMYBVFRBK7PBF7N3 \
  | 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: afd192b0469cb0cc06a58855f784bf6ec761b5eb8f79c71586a8618fd3d12474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "751dfbcda0afed3703117d9d1de13ba76795f9ae6d8ce7540af00dd9896f5578",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-01-06T20:34:00Z",
    "title_canon_sha256": "cafe27e8e746e902c216295d0a63252462d1f0dbcd535fe60abbd3738f5107a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01291",
    "kind": "arxiv",
    "version": 3
  }
}