Pith Number

pith:KIKXLPGK

pith:2019:KIKXLPGKW2NZJ3OPBN77GODDXL

not attested not anchored not stored refs pending

Zariski $N$-ples for a smooth cubic and its tangent lines

Hiro-o Tokunaga, Shinzo Bannai

arxiv:1903.04098 v1 · 2019-03-11 · 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{KIKXLPGKW2NZJ3OPBN77GODDXL}

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	2026-05-17T23:51:40.046469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

521575bccab69b94edcf0b7ff33863baead481dc3ed52c26fd44d0f940a425a4

Aliases

arxiv: 1903.04098 · arxiv_version: 1903.04098v1 · doi: 10.48550/arxiv.1903.04098 · pith_short_12: KIKXLPGKW2NZ · pith_short_16: KIKXLPGKW2NZJ3OP · pith_short_8: KIKXLPGK

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/KIKXLPGKW2NZJ3OPBN77GODDXL \
  | 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: 521575bccab69b94edcf0b7ff33863baead481dc3ed52c26fd44d0f940a425a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7815bdc290c5fa1205a30297bfc8600fc9324174fef1157fa77b800e3ad33433",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-11T02:05:51Z",
    "title_canon_sha256": "f36cea08e0c880f3ff749c029a44950ff01eb31b0fa94c5d04e10d4d974c3f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04098",
    "kind": "arxiv",
    "version": 1
  }
}