Pith Number

pith:4HJNIWF3

pith:2024:4HJNIWF3MSQ55OURC52EOUT5M2

not attested not anchored not stored refs pending

A version of Bakry-\'Emery Ricci flow on a finite graph

Bobo Hua, Tao Wang, Yong Lin

arxiv:2402.07475 v1 · 2024-02-12 · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HJNIWF3MSQ55OURC52EOUT5M2}

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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.

Cited by

1 paper in Pith

The Ollivier Ricci flow with prescribed curvature on infinite graphs

Receipt and verification

First computed	2026-07-05T07:44:07.254726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d2d458bb64a1deba91177447527d66ba5df007f363c35bf1a4bbfe296af94c

Aliases

arxiv: 2402.07475 · arxiv_version: 2402.07475v1 · doi: 10.48550/arxiv.2402.07475 · pith_short_12: 4HJNIWF3MSQ5 · pith_short_16: 4HJNIWF3MSQ55OUR · pith_short_8: 4HJNIWF3

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/4HJNIWF3MSQ55OURC52EOUT5M2 \
  | 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: e1d2d458bb64a1deba91177447527d66ba5df007f363c35bf1a4bbfe296af94c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3343dd96b6c8263fb6d75526da42dffb800bbcb3dabeaf1988735e179f0a963c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-02-12T08:28:19Z",
    "title_canon_sha256": "585d814704e49541f2ada0db4adf2bc026719819485618fa3e0ae089beb0ae56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.07475",
    "kind": "arxiv",
    "version": 1
  }
}