Pith Number

pith:ASZOYNMS

pith:2015:ASZOYNMSLICU4BJ5RY5DCK5WSH

not attested not anchored not stored refs pending

On a conjecture of Tsfasman and an inequality of Serre for the number of points on hypersurfaces over finite fields

Mrinmoy Datta, Sudhir R. Ghorpade

arxiv:1503.03049 v2 · 2015-03-10 · math.AG · cs.IT · 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{ASZOYNMSLICU4BJ5RY5DCK5WSH}

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	2026-05-18T01:18:47.598350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b2ec35925a054e053d8e3a312bb691f46dcd924718ac8f5960c86006875284

Aliases

arxiv: 1503.03049 · arxiv_version: 1503.03049v2 · doi: 10.48550/arxiv.1503.03049 · pith_short_12: ASZOYNMSLICU · pith_short_16: ASZOYNMSLICU4BJ5 · pith_short_8: ASZOYNMS

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/ASZOYNMSLICU4BJ5RY5DCK5WSH \
  | 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: 04b2ec35925a054e053d8e3a312bb691f46dcd924718ac8f5960c86006875284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "605f0a90fb665412fcc087aa9c856f7d41480263e41c66fa8e8951c24249d6fc",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-10T19:40:51Z",
    "title_canon_sha256": "9db13b2e042542e93dab2efeb2d5ef84857d4bc938ddef5b2384cac38e7b3df3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03049",
    "kind": "arxiv",
    "version": 2
  }
}