Pith Number

pith:NICB2DML

pith:2016:NICB2DMLMFFWQFFF6KOVFWZY5S

not attested not anchored not stored refs pending

On the number of rational points on special families of curves over function fields

Douglas Ulmer, Jos\'e Felipe Voloch

arxiv:1612.04325 v2 · 2016-12-13 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NICB2DMLMFFWQFFF6KOVFWZY5S}

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	2026-05-18T00:54:59.672307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a041d0d8b614b6814a5f29d52db38ec98639b7f837d551d6b5750f5ccadc59b

Aliases

arxiv: 1612.04325 · arxiv_version: 1612.04325v2 · doi: 10.48550/arxiv.1612.04325 · pith_short_12: NICB2DMLMFFW · pith_short_16: NICB2DMLMFFWQFFF · pith_short_8: NICB2DML

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/NICB2DMLMFFWQFFF6KOVFWZY5S \
  | 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: 6a041d0d8b614b6814a5f29d52db38ec98639b7f837d551d6b5750f5ccadc59b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d72a1fc21da58de4fb61aed80283926dc0a922f1e2e28eb9f964f67a4e91041d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-13T19:23:36Z",
    "title_canon_sha256": "22a2c41832f88976e7cfad4c43400c4c4ba0357d48663c251e5a694131206048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04325",
    "kind": "arxiv",
    "version": 2
  }
}