Pith Number

pith:CCF2APPJ

pith:2012:CCF2APPJTVO36I3EQV4OLANLSW

not attested not anchored not stored refs pending

Ferromagnetic Ising Measures on Large Locally Tree-Like Graphs

Amir Dembo, Anirban Basak

arxiv:1205.4749 v4 · 2012-05-21 · 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{CCF2APPJTVO36I3EQV4OLANLSW}

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	2026-05-18T01:28:35.684861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

108ba03de99d5dbf23648578e581ab95b43f52fa56624001dae83b4dccf57623

Aliases

arxiv: 1205.4749 · arxiv_version: 1205.4749v4 · doi: 10.48550/arxiv.1205.4749 · pith_short_12: CCF2APPJTVO3 · pith_short_16: CCF2APPJTVO36I3E · pith_short_8: CCF2APPJ

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/CCF2APPJTVO36I3EQV4OLANLSW \
  | 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: 108ba03de99d5dbf23648578e581ab95b43f52fa56624001dae83b4dccf57623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e466a2c3a88d1146eb838d542d2c33621a13139cdec9d98d82d2b34a6b6f40e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-21T20:55:58Z",
    "title_canon_sha256": "37a7fef38eeb9d0e6ce801ef9dc1327a22ea4e4da617b08b1196f6093f2d3c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4749",
    "kind": "arxiv",
    "version": 4
  }
}