Pith Number

pith:BY4IC7S7

pith:2016:BY4IC7S7MP4THCBIVYR3VBDCRK

not attested not anchored not stored refs pending

Bounds for the number of points on curves over finite fields

Herivelto Borges, Nazar Arakelian

arxiv:1608.05039 v1 · 2016-08-17 · math.AG · 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{BY4IC7S7MP4THCBIVYR3VBDCRK}

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	2026-05-18T01:08:32.914187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e38817e5f63f9338828ae23ba84628abbf7542b1294b8c337560f5c7e49871c

Aliases

arxiv: 1608.05039 · arxiv_version: 1608.05039v1 · doi: 10.48550/arxiv.1608.05039 · pith_short_12: BY4IC7S7MP4T · pith_short_16: BY4IC7S7MP4THCBI · pith_short_8: BY4IC7S7

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/BY4IC7S7MP4THCBIVYR3VBDCRK \
  | 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: 0e38817e5f63f9338828ae23ba84628abbf7542b1294b8c337560f5c7e49871c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46060f1f0129d4a34f4551b5bcb26f113e85d0ad7192f2e60130650e587027e0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-17T18:30:40Z",
    "title_canon_sha256": "55277c3a2139d04192afb86df7615d39f7013c42b5392b517667d4938e3569e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05039",
    "kind": "arxiv",
    "version": 1
  }
}