Pith Number

pith:IBEKKEQ2

pith:2025:IBEKKEQ2SO6F3CXRAWQRNR3SX4

not attested not anchored not stored refs pending

Kummers, spinors, and heights

Jack A. Thorne, Jef Laga

arxiv:2507.06865 v1 · 2025-07-09 · 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{IBEKKEQ2SO6F3CXRAWQRNR3SX4}

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	2026-07-05T11:34:24.269100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4048a5121a93bc5d8af105a116c772bf186b35493065b255e2e1c004cf558e8f

Aliases

arxiv: 2507.06865 · arxiv_version: 2507.06865v1 · doi: 10.48550/arxiv.2507.06865 · pith_short_12: IBEKKEQ2SO6F · pith_short_16: IBEKKEQ2SO6F3CXR · pith_short_8: IBEKKEQ2

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/IBEKKEQ2SO6F3CXRAWQRNR3SX4 \
  | 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: 4048a5121a93bc5d8af105a116c772bf186b35493065b255e2e1c004cf558e8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61633b25632226a84646a191a9bc87d0143a7112164d35619afc7c7d2df22216",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-09T14:07:04Z",
    "title_canon_sha256": "59642299445472af2dc070874282ccea79a8377c327124605a28b6595ffff35c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06865",
    "kind": "arxiv",
    "version": 1
  }
}