Pith Number

pith:UR3FO2R7

pith:2012:UR3FO2R74DEE6K5BCWZIFGEQHK

not attested not anchored not stored refs pending

The computational hardness of counting in two-spin models on d-regular graphs

Allan Sly, Nike Sun

arxiv:1203.2602 v1 · 2012-03-12 · math.PR · cs.CC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UR3FO2R74DEE6K5BCWZIFGEQHK}

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	2026-05-18T04:00:16.387946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a476576a3fe0c84f2ba115b28298903aa02c005b530c99b4d2d26f3d67ed81bd

Aliases

arxiv: 1203.2602 · arxiv_version: 1203.2602v1 · doi: 10.48550/arxiv.1203.2602 · pith_short_12: UR3FO2R74DEE · pith_short_16: UR3FO2R74DEE6K5B · pith_short_8: UR3FO2R7

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/UR3FO2R74DEE6K5BCWZIFGEQHK \
  | 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: a476576a3fe0c84f2ba115b28298903aa02c005b530c99b4d2d26f3d67ed81bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c47b3426d87800b946446a028aa8609446582b99539dbc806eff52b868aaffd",
    "cross_cats_sorted": [
      "cs.CC",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-12T19:53:53Z",
    "title_canon_sha256": "bc79740692fe1f5435f163691a062f7ba3749bea115bc33c3026ed616d8cd88a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2602",
    "kind": "arxiv",
    "version": 1
  }
}