Pith Number

pith:FX44LORC

pith:2009:FX44LORCFBCTGG5FHYCMVZFN3P

not attested not anchored not stored refs pending

On the Index of Sequences over Cyclic Groups

Chris Plyley, Guoqing Wang, Jiangtao Peng, Weidong Gao, Yuanlin Li

arxiv:0909.2461 v2 · 2009-09-14 · 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{FX44LORCFBCTGG5FHYCMVZFN3P}

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	2026-05-18T04:27:02.728238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df9c5ba222845331ba53e04cae4addbe5ed1483a8041fea1b6284eafe0844a4

Aliases

arxiv: 0909.2461 · arxiv_version: 0909.2461v2 · doi: 10.48550/arxiv.0909.2461 · pith_short_12: FX44LORCFBCT · pith_short_16: FX44LORCFBCTGG5F · pith_short_8: FX44LORC

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/FX44LORCFBCTGG5FHYCMVZFN3P \
  | 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: 2df9c5ba222845331ba53e04cae4addbe5ed1483a8041fea1b6284eafe0844a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "372843c92c7b1a60297959c07d3c64c6993e61fc3c27cf1b1eb78756444cc85b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-09-14T02:18:06Z",
    "title_canon_sha256": "0acf72038ea1280c2f4ae87507451a5d07af9863d550ab277e59677083046b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2461",
    "kind": "arxiv",
    "version": 2
  }
}