Pith Number

pith:JILIRBU2

pith:2008:JILIRBU23TEAFHHQIVAKELUZJ6

not attested not anchored not stored refs pending

Does Ten Have a Friend?

Jeffrey Ward

arxiv:0806.1001 v2 · 2008-06-05 · math.NT · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JILIRBU23TEAFHHQIVAKELUZJ6}

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	2026-07-04T15:12:01.218668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a1688869adcc8029cf04540a22e994fb5f0b2698aca67f908ddc02c478a8006

Aliases

arxiv: 0806.1001 · arxiv_version: 0806.1001v2 · doi: 10.48550/arxiv.0806.1001 · pith_short_12: JILIRBU23TEA · pith_short_16: JILIRBU23TEAFHHQ · pith_short_8: JILIRBU2

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/JILIRBU23TEAFHHQIVAKELUZJ6 \
  | 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: 4a1688869adcc8029cf04540a22e994fb5f0b2698aca67f908ddc02c478a8006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3fcbfed0fe6c6e3f2cee685c9a995fd8dec78ee650d7b301bfe83b423b3e977",
    "cross_cats_sorted": [
      "math.GM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-06-05T16:18:17Z",
    "title_canon_sha256": "ef674bf71582e8760fb98e0881ee38224a3179727eee9dd3c509b425d269b2a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1001",
    "kind": "arxiv",
    "version": 2
  }
}