Pith Number

pith:2MC2LJCB

pith:2013:2MC2LJCB6CF34OB7UCVJLMMVUQ

not attested not anchored not stored refs pending

Complete non-compact gradient Ricci solitons with nonnegative Ricci curvature

Xiaohua Zhu, Yuxing Deng

arxiv:1312.1216 v1 · 2013-12-04 · 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{2MC2LJCB6CF34OB7UCVJLMMVUQ}

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	2026-05-18T03:05:34.639065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d305a5a441f08bbe383fa0aa95b195a40e11a756d4e48c84d3d22497dc182003

Aliases

arxiv: 1312.1216 · arxiv_version: 1312.1216v1 · doi: 10.48550/arxiv.1312.1216 · pith_short_12: 2MC2LJCB6CF3 · pith_short_16: 2MC2LJCB6CF34OB7 · pith_short_8: 2MC2LJCB

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/2MC2LJCB6CF34OB7UCVJLMMVUQ \
  | 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: d305a5a441f08bbe383fa0aa95b195a40e11a756d4e48c84d3d22497dc182003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90be43289fb48d30a9c08941f9ac951fc0e7f6391593157f318619170048ac16",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-04T15:45:07Z",
    "title_canon_sha256": "5cc5256db3837cd59c4adf84a4dcb2fb1274d932f1e33a6c6cb46752168ee7d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1216",
    "kind": "arxiv",
    "version": 1
  }
}