Pith Number

pith:FRWM2RMM

pith:2010:FRWM2RMMHJTDVBUVI4J5CPS67Q

not attested not anchored not stored refs pending

Schramm's proof of Watts' formula

David B. Wilson, Scott Sheffield

arxiv:1003.3271 v4 · 2010-03-16 · math.PR · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRWM2RMMHJTDVBUVI4J5CPS67Q}

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	2026-05-18T02:24:36.874187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c6ccd458c3a663a86954713d13e5efc27174af6ee9bb3ac6f828c968ade7ce1

Aliases

arxiv: 1003.3271 · arxiv_version: 1003.3271v4 · doi: 10.48550/arxiv.1003.3271 · pith_short_12: FRWM2RMMHJTD · pith_short_16: FRWM2RMMHJTDVBUV · pith_short_8: FRWM2RMM

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/FRWM2RMMHJTDVBUVI4J5CPS67Q \
  | 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: 2c6ccd458c3a663a86954713d13e5efc27174af6ee9bb3ac6f828c968ade7ce1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6f4f3afad627d16cf03fc16e95c2b7e2065b32e4fc128b0556e1d5c1350359d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-16T23:05:14Z",
    "title_canon_sha256": "b066b1bfdd5e479f022c1d8b70a76cba8b447d65c9e78e1d4454bce709505cec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3271",
    "kind": "arxiv",
    "version": 4
  }
}