Pith Number

pith:CZQE34KU

pith:2024:CZQE34KU2PMB6WZ5WTOMBAVE7Q

not attested not anchored not stored refs pending

Deformations of I-surfaces with elliptic singularities

Phillip Griffiths, Robert Friedman

arxiv:2402.17677 v2 · 2024-02-27 · 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{CZQE34KU2PMB6WZ5WTOMBAVE7Q}

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

Normal stable degenerations of Noether-Horikawa surfaces

Receipt and verification

First computed	2026-07-05T07:56:03.349148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16604df154d3d81f5b3db4dcc082a4fc2fbe0483467281fd6296ba56899134ed

Aliases

arxiv: 2402.17677 · arxiv_version: 2402.17677v2 · doi: 10.48550/arxiv.2402.17677 · pith_short_12: CZQE34KU2PMB · pith_short_16: CZQE34KU2PMB6WZ5 · pith_short_8: CZQE34KU

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/CZQE34KU2PMB6WZ5WTOMBAVE7Q \
  | 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: 16604df154d3d81f5b3db4dcc082a4fc2fbe0483467281fd6296ba56899134ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18fe0c7f289249c276e5cb6f6aec528b88e3e558c6a73e589069e4ba10383429",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-02-27T16:52:04Z",
    "title_canon_sha256": "f08247bdae79dbc7ae4f9a983e3eb411562ccd58a2f9e862fdfe9a37fe67d62c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.17677",
    "kind": "arxiv",
    "version": 2
  }
}