Pith Number

pith:7TQX6YAI

pith:2026:7TQX6YAI4RJZM3KZYZBFSOG6TH

not attested not anchored not stored refs pending

The Ollivier Ricci flow with prescribed curvature on infinite graphs

Bobo Hua, Shuang Liu, Yong Lin

arxiv:2606.09017 v1 · 2026-06-08 · 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{7TQX6YAI4RJZM3KZYZBFSOG6TH}

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	2026-06-09T02:07:53.699755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce17f6008e453966d59c6425938de99efb48ca639ef76997f51e58f8217d4d5

Aliases

arxiv: 2606.09017 · arxiv_version: 2606.09017v1 · doi: 10.48550/arxiv.2606.09017 · pith_short_12: 7TQX6YAI4RJZ · pith_short_16: 7TQX6YAI4RJZM3KZ · pith_short_8: 7TQX6YAI

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/7TQX6YAI4RJZM3KZYZBFSOG6TH \
  | 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: fce17f6008e453966d59c6425938de99efb48ca639ef76997f51e58f8217d4d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67066db5d85f1e0cf3302023412ce206d2af5f34159ea80a1cf4a7d9cebaaead",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-08T04:28:11Z",
    "title_canon_sha256": "fafa90611cb52fbc81cfe341d50932c4b568f75bca0e529266eedf858a9b3d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09017",
    "kind": "arxiv",
    "version": 1
  }
}