Pith Number

pith:5SY45NXA

pith:2012:5SY45NXAT2CDKOHO53SQOHEQ73

not attested not anchored not stored refs pending

On graph parameters guaranteeing fast Sandpile diffusion

Ayush Choure, Sundar Vishwanathan

arxiv:1207.0421 v2 · 2012-07-02 · cs.DM · math-ph · 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{5SY45NXAT2CDKOHO53SQOHEQ73}

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	2026-05-18T03:41:43.804626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb1ceb6e09e843538eeeee5071c90feed65849d388e26365d5f7ebfa193751f

Aliases

arxiv: 1207.0421 · arxiv_version: 1207.0421v2 · doi: 10.48550/arxiv.1207.0421 · pith_short_12: 5SY45NXAT2CD · pith_short_16: 5SY45NXAT2CDKOHO · pith_short_8: 5SY45NXA

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/5SY45NXAT2CDKOHO53SQOHEQ73 \
  | 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: ecb1ceb6e09e843538eeeee5071c90feed65849d388e26365d5f7ebfa193751f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fde3d1cbb3b6c8b281d765258246f1389df19cbfbd04e6047c728c9faef552ba",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-07-02T15:32:36Z",
    "title_canon_sha256": "5721f6f6810fa6aeed34fc8379a8e362e1ee74cf827f44d27d5cfe8b7a0d3deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0421",
    "kind": "arxiv",
    "version": 2
  }
}