Pith Number

pith:TDQRHIDB

pith:2026:TDQRHIDBUKYMVT4C2SSEQM7BKH

not attested not anchored not stored refs pending

Genus and Gonality of Small Curves, Dynamical Uniform Boundedness, and Bifurcation

Junyi Xie, Zhuchao Ji

arxiv:2607.12561 v1 · 2026-07-14 · math.DS · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDQRHIDBUKYMVT4C2SSEQM7BKH}

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	2026-07-15T01:21:41.632357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98e113a061a2b0cacf82d4a44833e151f9f4bebde418af1a9f9a19ab925c8576

Aliases

arxiv: 2607.12561 · arxiv_version: 2607.12561v1 · doi: 10.48550/arxiv.2607.12561 · pith_short_12: TDQRHIDBUKYM · pith_short_16: TDQRHIDBUKYMVT4C · pith_short_8: TDQRHIDB

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/TDQRHIDBUKYMVT4C2SSEQM7BKH \
  | 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: 98e113a061a2b0cacf82d4a44833e151f9f4bebde418af1a9f9a19ab925c8576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28f25622fac6b6851b2be0596dd509249fe4138dfe911dc3e79d4742ce86c757",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-14T09:31:33Z",
    "title_canon_sha256": "e22254ef5321be51abdd79bebc8676709183fd9ed63b2d30807021d274ab98c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12561",
    "kind": "arxiv",
    "version": 1
  }
}