Pith Number

pith:FJAOMYOA

pith:2016:FJAOMYOALSBDO3TYH6CXSZHWUN

not attested not anchored not stored refs pending

A symmetry breaking transition in the edge/triangle network model

Charles Radin, Kui Ren, Lorenzo Sadun

arxiv:1604.07929 v1 · 2016-04-27 · math.CO · cond-mat.stat-mech · cs.SI · 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{FJAOMYOALSBDO3TYH6CXSZHWUN}

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	2026-05-18T00:48:42.834554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a40e661c05c82376e783f857964f6a374c148c57f4af1f006f0d0bda0762eb2

Aliases

arxiv: 1604.07929 · arxiv_version: 1604.07929v1 · doi: 10.48550/arxiv.1604.07929 · pith_short_12: FJAOMYOALSBD · pith_short_16: FJAOMYOALSBDO3TY · pith_short_8: FJAOMYOA

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/FJAOMYOALSBDO3TYH6CXSZHWUN \
  | 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: 2a40e661c05c82376e783f857964f6a374c148c57f4af1f006f0d0bda0762eb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f465bfbff24dd688301800e6b2c93b47a5800cf16c8661ffee983a20051f84e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.SI",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-27T04:22:25Z",
    "title_canon_sha256": "d83dfb92d22ad09d7370a03970c443214161a14844824462928107a778552349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07929",
    "kind": "arxiv",
    "version": 1
  }
}