Pith Number

pith:ECR3YQ54

pith:2013:ECR3YQ54WSCR22FTXLNHTFH2S3

not attested not anchored not stored refs pending

Regularity of K\"ahler-Ricci flow

Gang Tian, Zhenlei Zhang

arxiv:1304.2651 v1 · 2013-04-09 · 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{ECR3YQ54WSCR22FTXLNHTFH2S3}

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	2026-05-18T03:28:31.161574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20a3bc43bcb4851d68b3bada7994fa96d5f1d083991f3b6f1c970e971e10cdeb

Aliases

arxiv: 1304.2651 · arxiv_version: 1304.2651v1 · doi: 10.48550/arxiv.1304.2651 · pith_short_12: ECR3YQ54WSCR · pith_short_16: ECR3YQ54WSCR22FT · pith_short_8: ECR3YQ54

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/ECR3YQ54WSCR22FTXLNHTFH2S3 \
  | 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: 20a3bc43bcb4851d68b3bada7994fa96d5f1d083991f3b6f1c970e971e10cdeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16662d43df6ffd5e446516e00fe4371781639757e5f040df45bbc2cd510ef46e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-09T16:35:33Z",
    "title_canon_sha256": "93b3fd86657789c1435d7d83ec6302723be2c1e334705f6c6365f67a12211432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2651",
    "kind": "arxiv",
    "version": 1
  }
}