Pith Number

pith:GCNYF7O6

pith:2019:GCNYF7O6D5BSUEOD6AR5M6BPW2

not attested not anchored not stored refs pending

Symmetric multisets of permutations

Jonathan Bloom

arxiv:1906.04399 v1 · 2019-06-11 · 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{GCNYF7O6D5BSUEOD6AR5M6BPW2}

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	2026-05-17T23:43:39.389169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309b82fdde1f432a11c3f023d6782fb68da7cfe9b5c5ab841d84aca1a0c4ac58

Aliases

arxiv: 1906.04399 · arxiv_version: 1906.04399v1 · doi: 10.48550/arxiv.1906.04399 · pith_short_12: GCNYF7O6D5BS · pith_short_16: GCNYF7O6D5BSUEOD · pith_short_8: GCNYF7O6

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/GCNYF7O6D5BSUEOD6AR5M6BPW2 \
  | 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: 309b82fdde1f432a11c3f023d6782fb68da7cfe9b5c5ab841d84aca1a0c4ac58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "816973383fc37476cdafceb2941d371dbc57a83f26715ea872ce978b88632467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-11T05:38:19Z",
    "title_canon_sha256": "78e3e7919231b5ce6db5d5314510568f85d17a0cecced47a08482f94979a335a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04399",
    "kind": "arxiv",
    "version": 1
  }
}