Pith Number

pith:V726GIB7

pith:2012:V726GIB7QWC5HU752T54NFS6L5

not attested not anchored not stored refs pending

On the Odlyzko-Stanley enumeration problem and Waring's problem over finite fields

Jiyou Li

arxiv:1207.6939 v1 · 2012-07-30 · 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{V726GIB7QWC5HU752T54NFS6L5}

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	2026-05-18T03:49:48.192971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aff5e3203f8585d3d3fdd4fbc6965e5f7e1d7c1a773ecb8e47ed2c0c783ba02d

Aliases

arxiv: 1207.6939 · arxiv_version: 1207.6939v1 · doi: 10.48550/arxiv.1207.6939 · pith_short_12: V726GIB7QWC5 · pith_short_16: V726GIB7QWC5HU75 · pith_short_8: V726GIB7

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/V726GIB7QWC5HU752T54NFS6L5 \
  | 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: aff5e3203f8585d3d3fdd4fbc6965e5f7e1d7c1a773ecb8e47ed2c0c783ba02d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae2b73369c2623eba26bd4abb7990478fbfeb913eb737d0b51cb248f87b25047",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-30T13:50:40Z",
    "title_canon_sha256": "1a45702e097b93e5e0755b4ac9ac164ea5b6fbe2482f0e40f55d0e5ac8f8c754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6939",
    "kind": "arxiv",
    "version": 1
  }
}