Pith Number

pith:PU2CAXRL

pith:2020:PU2CAXRLFNPQGNEHHCUMZ4C6AN

not attested not anchored not stored refs pending

Finite record sets of chip-firing games

Kentaro Akasaka, Masahiko Yoshinaga, Suguru Ishibashi

arxiv:2005.00822 v2 · 2020-05-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PU2CAXRLFNPQGNEHHCUMZ4C6AN}

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	2026-07-05T06:49:56.350234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d34205e2b2b5f03348738a8ccf05e036b4cf8861a7cf7f29b072fd1c0c10b9a

Aliases

arxiv: 2005.00822 · arxiv_version: 2005.00822v2 · doi: 10.48550/arxiv.2005.00822 · pith_short_12: PU2CAXRLFNPQ · pith_short_16: PU2CAXRLFNPQGNEH · pith_short_8: PU2CAXRL

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/PU2CAXRLFNPQGNEHHCUMZ4C6AN \
  | 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: 7d34205e2b2b5f03348738a8ccf05e036b4cf8861a7cf7f29b072fd1c0c10b9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d95f0d0cbb9ce067f72de56a9447b08e3c7e4946dfecac3ddea6b04abe0019b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-05-02T12:56:15Z",
    "title_canon_sha256": "3ace2c0815b3729b65217ab5a1abd6114337d8cddb44f165c2f61de3814d324c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.00822",
    "kind": "arxiv",
    "version": 2
  }
}