Pith Number

pith:TNWS3YEA

pith:2012:TNWS3YEAL6SGAYCF5PJPODDU3G

not attested not anchored not stored refs pending

Structural properties of Stochastic Abelian Sandpile

Ayush Choure

arxiv:1210.4244 v1 · 2012-10-16 · math.CO · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNWS3YEAL6SGAYCF5PJPODDU3G}

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	2026-05-18T03:43:06.547761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b6d2de0805fa4606045ebd2f70c74d9a7588a9e963f05868868ca1ec3ec867e

Aliases

arxiv: 1210.4244 · arxiv_version: 1210.4244v1 · doi: 10.48550/arxiv.1210.4244 · pith_short_12: TNWS3YEAL6SG · pith_short_16: TNWS3YEAL6SGAYCF · pith_short_8: TNWS3YEA

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/TNWS3YEAL6SGAYCF5PJPODDU3G \
  | 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: 9b6d2de0805fa4606045ebd2f70c74d9a7588a9e963f05868868ca1ec3ec867e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be41e619800d063975df1cc3231b1306e38e5986d061be149e56670744bb5a70",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-16T04:22:17Z",
    "title_canon_sha256": "0c3ae99b4984c33a2f1d8f6b383f77a23c84c5d307af5f5684c7aaa660725b08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4244",
    "kind": "arxiv",
    "version": 1
  }
}