Pith Number

pith:VZWEOOJS

pith:2014:VZWEOOJSN7F74MMBDWIRWYQQAC

not attested not anchored not stored refs pending

Divisibility of Weil Sums of Binomials

Daniel J. Katz

arxiv:1407.7923 v3 · 2014-07-30 · math.NT · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZWEOOJSN7F74MMBDWIRWYQQAC}

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	2026-05-18T02:22:29.731580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae6c4739326fcbfe31811d911b621000933afdf027cd641b5ec885c107ddf0c8

Aliases

arxiv: 1407.7923 · arxiv_version: 1407.7923v3 · doi: 10.48550/arxiv.1407.7923 · pith_short_12: VZWEOOJSN7F7 · pith_short_16: VZWEOOJSN7F74MMB · pith_short_8: VZWEOOJS

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/VZWEOOJSN7F74MMBDWIRWYQQAC \
  | 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: ae6c4739326fcbfe31811d911b621000933afdf027cd641b5ec885c107ddf0c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb1f8014df137c2b17ee53e9a0df5e5956529e72dc56d5630ba33003c6961bbe",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-30T02:13:21Z",
    "title_canon_sha256": "c8a7dee344a946d99cbd9ba2ea9620a0c035e4c83b01ee73d61c6e1dbf6f10b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7923",
    "kind": "arxiv",
    "version": 3
  }
}