Pith Number

pith:75O63DIR

pith:2006:75O63DIRTKUJF7GOOXK7NZCPC7

not attested not anchored not stored refs pending

Period polynomials and Ihara brackets

Jean-Christophe Novelli, Jean-Gabriel Luque, Jean-Yves Thibon

arxiv:math/0606301 v1 · 2006-06-13 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75O63DIRTKUJF7GOOXK7NZCPC7}

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.

Cited by

1 paper in Pith

Towards Motivic Coactions at Genus One from Zeta Generators

Receipt and verification

First computed	2026-05-18T03:34:00.431340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff5ded8d119aa892fcce75d5f6e44f17d1ce79b5969da19712dd0208fcf70f78

Aliases

arxiv: math/0606301 · arxiv_version: math/0606301v1 · doi: 10.48550/arxiv.math/0606301 · pith_short_12: 75O63DIRTKUJ · pith_short_16: 75O63DIRTKUJF7GO · pith_short_8: 75O63DIR

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/75O63DIRTKUJF7GOOXK7NZCPC7 \
  | 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: ff5ded8d119aa892fcce75d5f6e44f17d1ce79b5969da19712dd0208fcf70f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815e6ac40d32c4cffd2a2f34f35ebe55bc8ce25ee58dfdf2d5702a45e911e97f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-06-13T10:29:23Z",
    "title_canon_sha256": "0eaec1a22507e3e3536a4c024e950e58f0e4f9941b0cc203770ea98b74c7c8ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606301",
    "kind": "arxiv",
    "version": 1
  }
}