Pith Number

pith:4VBXLDWD

pith:2023:4VBXLDWDOWYVQOAJGDDVAEMWQT

not attested not anchored not stored refs pending

A motivic circle method

Margaret Bilu, Tim Browning

arxiv:2304.09645 v2 · 2023-04-19 · 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{4VBXLDWDOWYVQOAJGDDVAEMWQT}

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

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

Receipt and verification

First computed	2026-07-05T10:57:24.854943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e543758ec375b158380930c750119684ccd08608ffe1d21db836cc41068f6d6c

Aliases

arxiv: 2304.09645 · arxiv_version: 2304.09645v2 · doi: 10.48550/arxiv.2304.09645 · pith_short_12: 4VBXLDWDOWYV · pith_short_16: 4VBXLDWDOWYVQOAJ · pith_short_8: 4VBXLDWD

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/4VBXLDWDOWYVQOAJGDDVAEMWQT \
  | 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: e543758ec375b158380930c750119684ccd08608ffe1d21db836cc41068f6d6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3ab77772eb19c23f6d257c351c521082be2bc548a49fc83318c661f88c0d04",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-04-19T13:36:58Z",
    "title_canon_sha256": "2014036fd6b9dc52f440935a11302d9a2414d55d8d619e09ea9a1e631bb6cef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.09645",
    "kind": "arxiv",
    "version": 2
  }
}