Pith Number

pith:JJOQ4JTS

pith:2012:JJOQ4JTSAS2XNS7QOOWKKV6A3Z

not attested not anchored not stored refs pending

Counting polynomials over finite fields with given root multiplicities

Ayah Almousa, Melanie Matchett Wood

arxiv:1210.0472 v1 · 2012-10-01 · math.NT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJOQ4JTSAS2XNS7QOOWKKV6A3Z}

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	2026-05-18T03:44:14.944279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a5d0e267204b576cbf073aca557c0de64bc44cbcaddfb51641e2c482c2b22e2

Aliases

arxiv: 1210.0472 · arxiv_version: 1210.0472v1 · doi: 10.48550/arxiv.1210.0472 · pith_short_12: JJOQ4JTSAS2X · pith_short_16: JJOQ4JTSAS2XNS7Q · pith_short_8: JJOQ4JTS

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/JJOQ4JTSAS2XNS7QOOWKKV6A3Z \
  | 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: 4a5d0e267204b576cbf073aca557c0de64bc44cbcaddfb51641e2c482c2b22e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab983d9cf1467b0f89874aa133dba5de70fadce91fb82b71e8ec4df5dcc4e85a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-01T17:07:37Z",
    "title_canon_sha256": "5e67ef0dbaefa7e2c52698afde6504eecc401cd39cffda85ec8487edc8de1f56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0472",
    "kind": "arxiv",
    "version": 1
  }
}