Pith Number

pith:G7WWPEKZ

pith:2014:G7WWPEKZSD7RJFHSMWQ2FUM2T3

not attested not anchored not stored refs pending

Locality of connective constants

Geoffrey R. Grimmett, Zhongyang Li

arxiv:1412.0150 v5 · 2014-11-29 · math.CO · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7WWPEKZSD7RJFHSMWQ2FUM2T3}

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	2026-05-18T00:07:51.370077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37ed67915990ff1494f265a1a2d19a9ece416086134b9cfb377e522f652a1e56

Aliases

arxiv: 1412.0150 · arxiv_version: 1412.0150v5 · doi: 10.48550/arxiv.1412.0150 · pith_short_12: G7WWPEKZSD7R · pith_short_16: G7WWPEKZSD7RJFHS · pith_short_8: G7WWPEKZ

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/G7WWPEKZSD7RJFHSMWQ2FUM2T3 \
  | 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: 37ed67915990ff1494f265a1a2d19a9ece416086134b9cfb377e522f652a1e56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a170a11f6f2c7a209f4d7e5c73fb2bd1ac1f44541a9e6be5644b12bd770fd63",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-29T20:12:56Z",
    "title_canon_sha256": "9a102dbae981941da365c9a5ee44a17a7cb9ed1dff441a4783330e77957d1a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0150",
    "kind": "arxiv",
    "version": 5
  }
}