Pith Number

pith:Q7RJDOGA

pith:2018:Q7RJDOGAXMEWLTCEIHIOZ4L5H4

not attested not anchored not stored refs pending

A partition bijection related to the Rogers--Selberg identities and Gordon's theorem

Andrew V. Sills

arxiv:1812.05580 v1 · 2018-12-13 · 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{Q7RJDOGAXMEWLTCEIHIOZ4L5H4}

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	2026-05-17T23:58:19.904397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87e291b8c0bb0965cc4441d0ecf17d3f2fb195e8b58b2f93725065ba2e4db0fc

Aliases

arxiv: 1812.05580 · arxiv_version: 1812.05580v1 · doi: 10.48550/arxiv.1812.05580 · pith_short_12: Q7RJDOGAXMEW · pith_short_16: Q7RJDOGAXMEWLTCE · pith_short_8: Q7RJDOGA

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/Q7RJDOGAXMEWLTCEIHIOZ4L5H4 \
  | 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: 87e291b8c0bb0965cc4441d0ecf17d3f2fb195e8b58b2f93725065ba2e4db0fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf691e261645e8b154c3d5a537e7aac29834bc123f913a23ef5d846666d3170c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-13T18:52:33Z",
    "title_canon_sha256": "d5388ae8145aec7c20ab888ecc491f486b5a8df868c797e9ad6db88eb42c3b63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05580",
    "kind": "arxiv",
    "version": 1
  }
}