Pith Number

pith:3AOAAZAS

pith:2024:3AOAAZASTT5DFENZR4JRO6WQPU

not attested not anchored not stored refs pending

Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method

Jakob Glas, Matthew Hase-Liu

arxiv:2412.14923 v1 · 2024-12-19 · 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{3AOAAZASTT5DFENZR4JRO6WQPU}

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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

Rational surfaces on low degree hypersurfaces

Receipt and verification

First computed	2026-07-05T09:53:47.221412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81c0064129cfa3291b98f13177ad07d32b68597a1a76150abfb4422505d3a43

Aliases

arxiv: 2412.14923 · arxiv_version: 2412.14923v1 · doi: 10.48550/arxiv.2412.14923 · pith_short_12: 3AOAAZASTT5D · pith_short_16: 3AOAAZASTT5DFENZ · pith_short_8: 3AOAAZAS

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/3AOAAZASTT5DFENZR4JRO6WQPU \
  | 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: d81c0064129cfa3291b98f13177ad07d32b68597a1a76150abfb4422505d3a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78a785b51b0a51aab58159835ad805a3f5838cf58f9fc4d3dc0448493c2e75e0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-19T15:00:22Z",
    "title_canon_sha256": "8f2fb5650299a6fc249d5b97abcce01b22faa716d9c8b8c3ff5707b2ab70e885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.14923",
    "kind": "arxiv",
    "version": 1
  }
}