Pith Number

pith:PIGXVMID

pith:2011:PIGXVMID6M4E6R4HCJZ2VNK7C7

not attested not anchored not stored refs pending

A bound on the number of points of a curve in projective space over a finite field

Masaaki Homma

arxiv:1108.4975 v1 · 2011-08-25 · 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{PIGXVMID6M4E6R4HCJZ2VNK7C7}

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	2026-05-18T04:14:45.690145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a0d7ab103f3384f47871273aab55f17fa493b6c0f6b954498bfd3e9642df06a

Aliases

arxiv: 1108.4975 · arxiv_version: 1108.4975v1 · doi: 10.48550/arxiv.1108.4975 · pith_short_12: PIGXVMID6M4E · pith_short_16: PIGXVMID6M4E6R4H · pith_short_8: PIGXVMID

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/PIGXVMID6M4E6R4HCJZ2VNK7C7 \
  | 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: 7a0d7ab103f3384f47871273aab55f17fa493b6c0f6b954498bfd3e9642df06a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee86ec859a101e7e46b4cd3a1ab69b2d2d67f7585df21d50b1ee8ce4cd48cf7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-25T00:51:30Z",
    "title_canon_sha256": "a4d10db7c9b9250e54e0d178c92e11c591cc7168ea21a919eaec6b6a056f59fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4975",
    "kind": "arxiv",
    "version": 1
  }
}