Pith Number

pith:AWZ55TGL

pith:2014:AWZ55TGL3EVG5PU2J4SGKOF23F

not attested not anchored not stored refs pending

The looping rate and sandpile density of planar graphs

Adrien Kassel, David B. Wilson

arxiv:1402.4169 v2 · 2014-02-17 · 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{AWZ55TGL3EVG5PU2J4SGKOF23F}

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	2026-05-18T01:18:18.599043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05b3decccbd92a6ebe9a4f246538bad95de0a1eaa06a0530870bb313076676ed

Aliases

arxiv: 1402.4169 · arxiv_version: 1402.4169v2 · doi: 10.48550/arxiv.1402.4169 · pith_short_12: AWZ55TGL3EVG · pith_short_16: AWZ55TGL3EVG5PU2 · pith_short_8: AWZ55TGL

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/AWZ55TGL3EVG5PU2J4SGKOF23F \
  | 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: 05b3decccbd92a6ebe9a4f246538bad95de0a1eaa06a0530870bb313076676ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "912f8888f1249ea9da4e97b4f45c15a28037abbf2c2ca92b5fbe6e9142db24cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-17T22:23:59Z",
    "title_canon_sha256": "f99125d83f08392a1085b4364105175a125f959a02afdc0424b95e8e1f7fd61e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4169",
    "kind": "arxiv",
    "version": 2
  }
}