Pith Number

pith:AWYVGTZJ

pith:1992:AWYVGTZJAOSJYNGEWFESHF7EED

not attested not anchored not stored refs pending

Weierstrass Gap Sequence at Total Inflection Points of Nodal Plane Curves

Marc Coppens, Takao Kato

arxiv:alg-geom/9204001 v1 · 1992-04-02 · alg-geom · 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{AWYVGTZJAOSJYNGEWFESHF7EED}

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	2026-05-18T01:37:43.207041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05b1534f2903a49c34c4b1492397e420c4ae9e938dfd3bfbebcda1b5ef34f4e6

Aliases

arxiv: alg-geom/9204001 · arxiv_version: alg-geom/9204001v1 · doi: 10.48550/arxiv.alg-geom/9204001 · pith_short_12: AWYVGTZJAOSJ · pith_short_16: AWYVGTZJAOSJYNGE · pith_short_8: AWYVGTZJ

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/AWYVGTZJAOSJYNGEWFESHF7EED \
  | 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: 05b1534f2903a49c34c4b1492397e420c4ae9e938dfd3bfbebcda1b5ef34f4e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4598c700649f993e158a2f47e9ef6af15fa23fa7abe0f774c045940f7b79ce97",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1992-04-02T17:28:22Z",
    "title_canon_sha256": "1bf0ecdd38ff617c06573c658b490d110b6027954ef176809cdccb6b593fd6c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9204001",
    "kind": "arxiv",
    "version": 1
  }
}