Pith Number

pith:C7ZZGUSO

pith:2010:C7ZZGUSOVNO7WD5WEKPHKWZICR

not attested not anchored not stored refs pending

Transitivity on Weierstrass points

David Singerman, Zoe Laing

arxiv:1012.2020 v1 · 2010-12-09 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7ZZGUSOVNO7WD5WEKPHKWZICR}

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	2026-05-18T04:33:49.188149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17f393524eab5dfb0fb6229e755b28145fca33f27496e70b428ea6825b1df4b1

Aliases

arxiv: 1012.2020 · arxiv_version: 1012.2020v1 · doi: 10.48550/arxiv.1012.2020 · pith_short_12: C7ZZGUSOVNO7 · pith_short_16: C7ZZGUSOVNO7WD5W · pith_short_8: C7ZZGUSO

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/C7ZZGUSOVNO7WD5WEKPHKWZICR \
  | 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: 17f393524eab5dfb0fb6229e755b28145fca33f27496e70b428ea6825b1df4b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f26e44a5384207a9d1b5a25c3ada0f3c2bbe62ee554c38f1f348f4ca6aa6e71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-12-09T14:49:13Z",
    "title_canon_sha256": "0d132f49250bda8e008d8871bd32f3cfa4659a656b7d97aa9fc2e7002697127f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2020",
    "kind": "arxiv",
    "version": 1
  }
}