Pith Number

pith:CKVNZLOQ

pith:2012:CKVNZLOQXSYFMOY2QSKAD2LFF6

not attested not anchored not stored refs pending

Motors and Impossible Firing Patterns in the Parallel Chip-Firing Game

Tian-Yi Jiang, Yan X Zhang, Ziv Scully

arxiv:1211.6786 v3 · 2012-11-29 · math.CO · cs.DM · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKVNZLOQXSYFMOY2QSKAD2LFF6}

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	2026-05-18T02:33:25.701360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12aadcadd0bcb0563b1a849401e9652fa1d1e9d7ff2fae221c986646e3732a93

Aliases

arxiv: 1211.6786 · arxiv_version: 1211.6786v3 · doi: 10.48550/arxiv.1211.6786 · pith_short_12: CKVNZLOQXSYF · pith_short_16: CKVNZLOQXSYFMOY2 · pith_short_8: CKVNZLOQ

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/CKVNZLOQXSYFMOY2QSKAD2LFF6 \
  | 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: 12aadcadd0bcb0563b1a849401e9652fa1d1e9d7ff2fae221c986646e3732a93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fde2ace780d0de633dc7deb469709436eed27908bd3f50b74d08e71cc89aa33c",
    "cross_cats_sorted": [
      "cs.DM",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-29T00:07:56Z",
    "title_canon_sha256": "98a19ea57006eef97e0acb5a1f137db1fa954cb8fa6d50f517d5e8b8459e5bcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6786",
    "kind": "arxiv",
    "version": 3
  }
}