Pith Number

pith:3CN357LT

pith:2023:3CN357LTGFPO66R37THOKTEXVT

not attested not anchored not stored refs pending

The Relative Manin-Mumford Conjecture

Philipp Habegger, Ziyang Gao

arxiv:2303.05045 v2 · 2023-03-09 · math.NT · 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{3CN357LTGFPO66R37THOKTEXVT}

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.

Cited by

1 paper in Pith

Unlikely intersections in families of polynomial skew products

Receipt and verification

First computed	2026-07-05T06:58:08.339211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d89bbefd73315eef7a3bfccee54c97acd2d87485452438b0becdc13928227dc9

Aliases

arxiv: 2303.05045 · arxiv_version: 2303.05045v2 · doi: 10.48550/arxiv.2303.05045 · pith_short_12: 3CN357LTGFPO · pith_short_16: 3CN357LTGFPO66R3 · pith_short_8: 3CN357LT

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/3CN357LTGFPO66R37THOKTEXVT \
  | 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: d89bbefd73315eef7a3bfccee54c97acd2d87485452438b0becdc13928227dc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aefebfd2ab89594eeee5baba5054983490bf167e3b0b48c0bba03e222aa6248",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-03-09T05:50:19Z",
    "title_canon_sha256": "b0d3484d2431e01638eab661f09bc6a0a5c1c5ef1edde99d7696adba2089714d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.05045",
    "kind": "arxiv",
    "version": 2
  }
}