Pith Number

pith:A3OB52LH

pith:2013:A3OB52LHQTVEGET2GSFABBHWOJ

not attested not anchored not stored refs pending

Connectivity patterns in loop percolation I: the rationality phenomenon and constant term identities

Dan Romik

arxiv:1303.6341 v2 · 2013-03-25 · math.PR · math-ph · math.CO · 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{A3OB52LHQTVEGET2GSFABBHWOJ}

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	2026-05-18T01:50:52.874631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06dc1ee96784ea43127a348a0084f672656ce6010d8eb98c6c67a52f9743a086

Aliases

arxiv: 1303.6341 · arxiv_version: 1303.6341v2 · doi: 10.48550/arxiv.1303.6341 · pith_short_12: A3OB52LHQTVE · pith_short_16: A3OB52LHQTVEGET2 · pith_short_8: A3OB52LH

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/A3OB52LHQTVEGET2GSFABBHWOJ \
  | 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: 06dc1ee96784ea43127a348a0084f672656ce6010d8eb98c6c67a52f9743a086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "290531aa2ab94a3dfac2b76c91172f319acbb2b5097962b9f272ceb570ed87af",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-25T22:44:17Z",
    "title_canon_sha256": "86ffe1327929e5205f2d9854b6592d232f9f4e3e874e303b9b9c4bbb920f7ac2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6341",
    "kind": "arxiv",
    "version": 2
  }
}