Pith Number

pith:SR2NC4FH

pith:2014:SR2NC4FHTVVIRONRCDHWYU27JR

not attested not anchored not stored refs pending

Proof of a Conjectured Three-Valued Family of Weil Sums of Binomials

Daniel J. Katz, Philippe Langevin

arxiv:1409.2459 v3 · 2014-09-08 · 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{SR2NC4FHTVVIRONRCDHWYU27JR}

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	2026-05-18T02:22:29.579655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9474d170a79d6a88b9b110cf6c535f4c79c33d33e9fed6a369668fb611dbc22a

Aliases

arxiv: 1409.2459 · arxiv_version: 1409.2459v3 · doi: 10.48550/arxiv.1409.2459 · pith_short_12: SR2NC4FHTVVI · pith_short_16: SR2NC4FHTVVIRONR · pith_short_8: SR2NC4FH

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/SR2NC4FHTVVIRONRCDHWYU27JR \
  | 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: 9474d170a79d6a88b9b110cf6c535f4c79c33d33e9fed6a369668fb611dbc22a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1177bb19fa55ed92297e6cc64e6d8dcdb64f6e42a7263e8fa814384d927102d",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-08T18:41:30Z",
    "title_canon_sha256": "37a8a82b2587ee008583a58626a0e2ba2a4ec30aea1ff3bea61f34563683fd1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2459",
    "kind": "arxiv",
    "version": 3
  }
}