Pith Number

pith:BPQITA44

pith:2017:BPQITA44LIE7XCNOKCFAEK44WW

not attested not anchored not stored refs pending

A Polyhedral Proof of a Wreath Product Identity

Bruce Sagan, Robert Davis

arxiv:1712.00839 v1 · 2017-12-03 · 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{BPQITA44LIE7XCNOKCFAEK44WW}

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	2026-05-18T00:29:00.272303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be089839c5a09fb89ae508a022b9cb5829bc6b736a7cdc94e8b55c5b7439a6f

Aliases

arxiv: 1712.00839 · arxiv_version: 1712.00839v1 · doi: 10.48550/arxiv.1712.00839 · pith_short_12: BPQITA44LIE7 · pith_short_16: BPQITA44LIE7XCNO · pith_short_8: BPQITA44

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/BPQITA44LIE7XCNOKCFAEK44WW \
  | 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: 0be089839c5a09fb89ae508a022b9cb5829bc6b736a7cdc94e8b55c5b7439a6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9f483a353c680e813c88df44a481c976da76d3abe4d6ef566ab5dfde8800895",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-03T21:16:10Z",
    "title_canon_sha256": "9b91a8a545a4dba9398431ee8a0a6ee298f572f400500ceecfbbdbef3e8bb7fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00839",
    "kind": "arxiv",
    "version": 1
  }
}