Pith Number

pith:U74UDH35

pith:2011:U74UDH35R7Z3XWWE3TF3ES7OYQ

not attested not anchored not stored refs pending

Primer for the algebraic geometry of sandpiles

David Perkinson, Jacob Perlman, John Wilmes

arxiv:1112.6163 v2 · 2011-12-28 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U74UDH35R7Z3XWWE3TF3ES7OYQ}

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	2026-05-18T04:05:26.532646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7f9419f7d8ff3bbdac4dccbb24beec43f12883828f6195c8acdab1556ea0003

Aliases

arxiv: 1112.6163 · arxiv_version: 1112.6163v2 · doi: 10.48550/arxiv.1112.6163 · pith_short_12: U74UDH35R7Z3 · pith_short_16: U74UDH35R7Z3XWWE · pith_short_8: U74UDH35

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/U74UDH35R7Z3XWWE3TF3ES7OYQ \
  | 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: a7f9419f7d8ff3bbdac4dccbb24beec43f12883828f6195c8acdab1556ea0003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "786dcd6bd5773bb4a216359ddc9d9aaefb089821f4b14f331be13603435f1874",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-28T18:35:45Z",
    "title_canon_sha256": "d80b45b0760cf2cc24264d34d956c0f35b454d59c3d57f669ae304f8da3830a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6163",
    "kind": "arxiv",
    "version": 2
  }
}