Pith Number

pith:2XO64UBV

pith:2008:2XO64UBV5XIO2IRPM73ZEKVZG5

not attested not anchored not stored refs pending

On a theorem of Carlitz

Michael E. Zieve

arxiv:0810.2834 v2 · 2008-10-16 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XO64UBV5XIO2IRPM73ZEKVZG5}

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	2026-05-18T01:19:42.777646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5ddee5035edd0ed222f67f7922ab9376af178ad34dac83da604b4863debcaea

Aliases

arxiv: 0810.2834 · arxiv_version: 0810.2834v2 · doi: 10.48550/arxiv.0810.2834 · pith_short_12: 2XO64UBV5XIO · pith_short_16: 2XO64UBV5XIO2IRP · pith_short_8: 2XO64UBV

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/2XO64UBV5XIO2IRPM73ZEKVZG5 \
  | 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: d5ddee5035edd0ed222f67f7922ab9376af178ad34dac83da604b4863debcaea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84310384676d6a1113a38adaf20fb739d1f832dea9d1428bdeacc32582fb7c71",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-10-16T02:10:43Z",
    "title_canon_sha256": "f9f9bea8e0766b233bc10523d44348a1dbae3fa725b104fd3d7b2322fe0d025f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2834",
    "kind": "arxiv",
    "version": 2
  }
}