Pith Number

pith:E3F4GHOE

pith:2012:E3F4GHOEFKI3VW6U4BPSUI67IO

not attested not anchored not stored refs pending

Improved bounds on the sandpile diffusions on Grid graphs

Ayush Choure, Sundar Vishwanathan

arxiv:1210.4327 v2 · 2012-10-16 · math-ph · cs.DM · 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{E3F4GHOEFKI3VW6U4BPSUI67IO}

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	2026-05-18T00:56:52.400253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26cbc31dc42a91badbd4e05f2a23df439e5345bfc0548c6e19b29fb977e3d789

Aliases

arxiv: 1210.4327 · arxiv_version: 1210.4327v2 · doi: 10.48550/arxiv.1210.4327 · pith_short_12: E3F4GHOEFKI3 · pith_short_16: E3F4GHOEFKI3VW6U · pith_short_8: E3F4GHOE

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/E3F4GHOEFKI3VW6U4BPSUI67IO \
  | 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: 26cbc31dc42a91badbd4e05f2a23df439e5345bfc0548c6e19b29fb977e3d789

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64dca1b5de62babec4d51f317abcc6a788c0630f1c0131fb77ffe648b4b7fdaf",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-16T09:37:59Z",
    "title_canon_sha256": "13f523592e42ea75397cfe4b055f05facf09ce0d5e8e90fe1d4665150b3d1725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4327",
    "kind": "arxiv",
    "version": 2
  }
}