Pith Number

pith:OIUAZODL

pith:2017:OIUAZODLWW7YW6FTBLSBCE6KBR

not attested not anchored not stored refs pending

The canonical join complex for biclosed sets

Alexander Clifton, Alexander Garver, Peter Dillery

arxiv:1708.02580 v5 · 2017-08-08 · 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{OIUAZODLWW7YW6FTBLSBCE6KBR}

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	2026-05-18T00:34:04.528541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72280cb86bb5bf8b78b30ae41113ca0c7085688cb898756b25935058162c720d

Aliases

arxiv: 1708.02580 · arxiv_version: 1708.02580v5 · doi: 10.48550/arxiv.1708.02580 · pith_short_12: OIUAZODLWW7Y · pith_short_16: OIUAZODLWW7YW6FT · pith_short_8: OIUAZODL

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/OIUAZODLWW7YW6FTBLSBCE6KBR \
  | 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: 72280cb86bb5bf8b78b30ae41113ca0c7085688cb898756b25935058162c720d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "078077f2cd7943b364ff3ff75c8564e3d26bc6d2c652b182a9cfb5cb9d3d7407",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-08T17:56:04Z",
    "title_canon_sha256": "d838519d06d7ada796f6b4b33c97e9cb67f3c16f71d556cfbb8cd9c4f1b5d36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02580",
    "kind": "arxiv",
    "version": 5
  }
}