Pith Number

pith:HMDRM76W

pith:2012:HMDRM76WA3ADURZAI2OPGPKPQL

not attested not anchored not stored refs pending

Bounding the number of points on a curve using a generalization of Weierstrass semigroups

Diego Ruano, Peter Beelen

arxiv:1202.0453 v1 · 2012-02-02 · 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{HMDRM76WA3ADURZAI2OPGPKPQL}

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	2026-05-18T04:03:18.169385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b07167fd606c03a4720469cf33d4f82eb0b4560b9f01c73948ba36c05904ba6

Aliases

arxiv: 1202.0453 · arxiv_version: 1202.0453v1 · doi: 10.48550/arxiv.1202.0453 · pith_short_12: HMDRM76WA3AD · pith_short_16: HMDRM76WA3ADURZA · pith_short_8: HMDRM76W

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/HMDRM76WA3ADURZAI2OPGPKPQL \
  | 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: 3b07167fd606c03a4720469cf33d4f82eb0b4560b9f01c73948ba36c05904ba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a899b11838142650ff21e09d777667659135559ba5180cb0d0f655fd2d8cc109",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-02T15:13:05Z",
    "title_canon_sha256": "697ee60909bdad58d21e3c3a597c9049edfe0bd4f9df804572e3bd6fffe8937e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0453",
    "kind": "arxiv",
    "version": 1
  }
}