Pith Number

pith:FSXYDO4X

pith:2026:FSXYDO4XG4T33SRPDW4HBP2PKM

not attested not anchored not stored refs pending

Generalizing OOOOOOB

Alon Danai, Paul Ellis, Thotsaporn Aek Thanatipanonda

arxiv:2605.23213 v1 · 2026-05-22 · 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{FSXYDO4XG4T33SRPDW4HBP2PKM}

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	2026-05-25T02:01:43.889604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2caf81bb973727bdca2f1db870bf4f53364cb9b6b66350bbeaa9e93f054d8eef

Aliases

arxiv: 2605.23213 · arxiv_version: 2605.23213v1 · doi: 10.48550/arxiv.2605.23213 · pith_short_12: FSXYDO4XG4T3 · pith_short_16: FSXYDO4XG4T33SRP · pith_short_8: FSXYDO4X

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/FSXYDO4XG4T33SRPDW4HBP2PKM \
  | 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: 2caf81bb973727bdca2f1db870bf4f53364cb9b6b66350bbeaa9e93f054d8eef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c9a0652dde83c4742c99fa462fd05898548e21998177ca08f628f851ffaaa22",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-22T04:04:35Z",
    "title_canon_sha256": "2efbb64bc50011404d2fe896cc0c981987701706c60f1035ca31df90a0ebaa26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23213",
    "kind": "arxiv",
    "version": 1
  }
}