Pith Number

pith:Y5MLWPKM

pith:2018:Y5MLWPKMEPCW2KRCCGTRHOZYEV

not attested not anchored not stored refs pending

Maximum number of $\mathbb{F}_q$-rational points on nonsingular threefolds in $\mathbb{P}^4$

Mrinmoy Datta

arxiv:1812.09728 v2 · 2018-12-23 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5MLWPKMEPCW2KRCCGTRHOZYEV}

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	2026-05-17T23:44:47.749816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c758bb3d4c23c56d2a2211a713bb3825725858b13df875b9f2babc67e77bebaf

Aliases

arxiv: 1812.09728 · arxiv_version: 1812.09728v2 · doi: 10.48550/arxiv.1812.09728 · pith_short_12: Y5MLWPKMEPCW · pith_short_16: Y5MLWPKMEPCW2KRC · pith_short_8: Y5MLWPKM

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/Y5MLWPKMEPCW2KRCCGTRHOZYEV \
  | 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: c758bb3d4c23c56d2a2211a713bb3825725858b13df875b9f2babc67e77bebaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3bf4739b8ba2fba29976baf30e794054b40e4adf8cc7093165113f6d220f330",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-12-23T15:18:44Z",
    "title_canon_sha256": "17abeb0714616dd7fb2a57a1f2da1982068d38cd5a3a780c66bf80afad9d2d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09728",
    "kind": "arxiv",
    "version": 2
  }
}