Pith Number

pith:LIFHYIYY

pith:2018:LIFHYIYYEP3VQXH47KCAV6OZSQ

not attested not anchored not stored refs pending

Long scale Ollivier-Ricci curvature of graphs

David Cushing, Supanat Kamtue

arxiv:1801.10131 v1 · 2018-01-30 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIFHYIYYEP3VQXH47KCAV6OZSQ}

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	2026-05-18T00:24:45.798099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0a7c231823f7585cfcfa840af9d9941ffbadb208d2e434294b71bd186ec5d8

Aliases

arxiv: 1801.10131 · arxiv_version: 1801.10131v1 · doi: 10.48550/arxiv.1801.10131 · pith_short_12: LIFHYIYYEP3V · pith_short_16: LIFHYIYYEP3VQXH4 · pith_short_8: LIFHYIYY

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/LIFHYIYYEP3VQXH47KCAV6OZSQ \
  | 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: 5a0a7c231823f7585cfcfa840af9d9941ffbadb208d2e434294b71bd186ec5d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c0e4e03c1a6ad7f3ba321e600ce445d8f40707833ce5a94a809238f2d6a885e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-30T18:29:49Z",
    "title_canon_sha256": "4870beaeb08c2445b807215b72556cef5bfe360194f94d1eaa1ef2877ac85fab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10131",
    "kind": "arxiv",
    "version": 1
  }
}