Pith Number

pith:LUMYJVT7

pith:2016:LUMYJVT7OO7XRN2ZNOZ67RPE2J

not attested not anchored not stored refs pending

Rational polynomials of simple type: a combinatorial proof

Daniel Daigle, Pierrette Cassou-Nogu\`es

arxiv:1611.08045 v1 · 2016-11-24 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUMYJVT7OO7XRN2ZNOZ67RPE2J}

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	2026-05-18T00:56:44.573004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d1984d67f73bf78b7596bb3efc5e4d247434ed2471eb4eea660b55fbd4398e5

Aliases

arxiv: 1611.08045 · arxiv_version: 1611.08045v1 · doi: 10.48550/arxiv.1611.08045 · pith_short_12: LUMYJVT7OO7X · pith_short_16: LUMYJVT7OO7XRN2Z · pith_short_8: LUMYJVT7

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/LUMYJVT7OO7XRN2ZNOZ67RPE2J \
  | 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: 5d1984d67f73bf78b7596bb3efc5e4d247434ed2471eb4eea660b55fbd4398e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbde7513a26fcd401b391a3c9d903108a50d2cede8246763bd4726be2399b75b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-24T01:12:05Z",
    "title_canon_sha256": "686ad68f9674cddc9c336e02e2b056f9e67cf58e7f5528820f7fad515a9171ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08045",
    "kind": "arxiv",
    "version": 1
  }
}