Pith Number

pith:SJXTGSAH

pith:2026:SJXTGSAHOAA6QNAWZI7L5AMIST

not attested not anchored not stored refs pending

Twelve common flex lines in a general pencil of cubics

Jihao Liu, Yanze Wang

arxiv:2607.26396 v1 · 2026-07-29 · 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{SJXTGSAHOAA6QNAWZI7L5AMIST}

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	2026-07-30T01:18:18.420326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

926f3348077001e83416ca3ebe818894cdf659744c93856b6811d16e5b914868

Aliases

arxiv: 2607.26396 · arxiv_version: 2607.26396v1 · doi: 10.48550/arxiv.2607.26396 · pith_short_12: SJXTGSAHOAA6 · pith_short_16: SJXTGSAHOAA6QNAW · pith_short_8: SJXTGSAH

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/SJXTGSAHOAA6QNAWZI7L5AMIST \
  | 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: 926f3348077001e83416ca3ebe818894cdf659744c93856b6811d16e5b914868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c805a49018010add54ecd8db766dd80e89ee6cb64f85d676c3c1ec1cd8acf370",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-29T02:12:05Z",
    "title_canon_sha256": "3282fe9f041ccf47ba90f921d90b8e6c9ecb9a4f31172888bcec4ba2b6b239c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26396",
    "kind": "arxiv",
    "version": 1
  }
}