Pith Number

pith:FJAWDIPA

pith:2012:FJAWDIPA6M6EKC3Q6UD5MULDBC

not attested not anchored not stored refs pending

Lattices generated by Chip Firing Game models: criteria and recognition algorithm

Thi Ha Duong Phan, Trung Van Pham

arxiv:1205.6256 v3 · 2012-05-29 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJAWDIPA6M6EKC3Q6UD5MULDBC}

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	2026-05-18T03:10:58.423387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a4161a1e0f33c450b70f507d6516308a9d7ed360e9443d0da193ad9ade21086

Aliases

arxiv: 1205.6256 · arxiv_version: 1205.6256v3 · doi: 10.48550/arxiv.1205.6256 · pith_short_12: FJAWDIPA6M6E · pith_short_16: FJAWDIPA6M6EKC3Q · pith_short_8: FJAWDIPA

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/FJAWDIPA6M6EKC3Q6UD5MULDBC \
  | 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: 2a4161a1e0f33c450b70f507d6516308a9d7ed360e9443d0da193ad9ade21086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dffed89e134d013b217bf2ee8f4a969b237cb5c1628f1008838320cfae1c8120",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-05-29T04:11:09Z",
    "title_canon_sha256": "047ab7a82a71b5630d0dc6a505e3de47d52fbbb737c4bfb0803f68d14c6d7825"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6256",
    "kind": "arxiv",
    "version": 3
  }
}