Pith Number

pith:AWAXN4SO

pith:2025:AWAXN4SO5GXT63TRSKADF3EKRP

not attested not anchored not stored refs pending

Normal stable degenerations of Noether-Horikawa surfaces

Hiroto Akaike, Makoto Enokizono, Masafumi Hattori, Yuki Koto

arxiv:2507.17633 v1 · 2025-07-23 · math.AG · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWAXN4SO5GXT63TRSKADF3EKRP}

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	2026-07-05T11:42:10.999837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

058176f24ee9af3f6e71928032ec8a8be363104cb0260c0f8ee7a57ccd5d8f17

Aliases

arxiv: 2507.17633 · arxiv_version: 2507.17633v1 · doi: 10.48550/arxiv.2507.17633 · pith_short_12: AWAXN4SO5GXT · pith_short_16: AWAXN4SO5GXT63TR · pith_short_8: AWAXN4SO

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/AWAXN4SO5GXT63TRSKADF3EKRP \
  | 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: 058176f24ee9af3f6e71928032ec8a8be363104cb0260c0f8ee7a57ccd5d8f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f53ff74550cbafaffd926f1d2b68f517d2989de07144ee19cd86fba506839d",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-23T16:01:04Z",
    "title_canon_sha256": "7633da8a60b2e61de010ad3de7739f85210d53e248e803ff46de2ebb44531ab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17633",
    "kind": "arxiv",
    "version": 1
  }
}