Pith Number

pith:JHKRIUQA

pith:2013:JHKRIUQA2MTOOR3WDW7OVBWWTX

not attested not anchored not stored refs pending

On the class of dominant and subordinate products

Alexander Berkovich, Keith Grizzell

arxiv:1303.2362 v1 · 2013-03-10 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHKRIUQA2MTOOR3WDW7OVBWWTX}

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	2026-05-18T03:31:19.253800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49d5145200d326e747761dbeea86d69dc59eb3a3ad2577d7a6e81051bd925b2f

Aliases

arxiv: 1303.2362 · arxiv_version: 1303.2362v1 · doi: 10.48550/arxiv.1303.2362 · pith_short_12: JHKRIUQA2MTO · pith_short_16: JHKRIUQA2MTOOR3W · pith_short_8: JHKRIUQA

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/JHKRIUQA2MTOOR3WDW7OVBWWTX \
  | 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: 49d5145200d326e747761dbeea86d69dc59eb3a3ad2577d7a6e81051bd925b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c397eaf25b1f0808e52c2a2390555bb5f97f81372d046f60758867c43281c4a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-10T19:12:28Z",
    "title_canon_sha256": "65aecafa86be51caf1bced0727082dff71cd3924b03fc45af86a8db6c6f27d16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2362",
    "kind": "arxiv",
    "version": 1
  }
}