Pith Number

pith:H3HLLGDU

pith:2012:H3HLLGDUC2RA6NVFVQDSOJKIBS

not attested not anchored not stored refs pending

Lee-Yang theorems and the complexity of computing averages

Alistair Sinclair, Piyush Srivastava

arxiv:1211.2376 v2 · 2012-11-11 · cs.CC · cond-mat.stat-mech · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3HLLGDUC2RA6NVFVQDSOJKIBS}

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	2026-05-18T03:31:44.684924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eceb5987416a20f36a5ac072725480c8cf27dc212e300d635bb0bd2c79db37e

Aliases

arxiv: 1211.2376 · arxiv_version: 1211.2376v2 · doi: 10.48550/arxiv.1211.2376 · pith_short_12: H3HLLGDUC2RA · pith_short_16: H3HLLGDUC2RA6NVF · pith_short_8: H3HLLGDU

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/H3HLLGDUC2RA6NVFVQDSOJKIBS \
  | 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: 3eceb5987416a20f36a5ac072725480c8cf27dc212e300d635bb0bd2c79db37e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4057afac9eed7400264dcc312b622bd8a2f9618e89e6be6648b2d74817c4cb4",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-11-11T07:05:39Z",
    "title_canon_sha256": "fd041655e671f5486d7b4637825fde682519f05c85731d07489814f5e87231eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2376",
    "kind": "arxiv",
    "version": 2
  }
}