Pith Number

pith:BOLEEMQD

pith:2025:BOLEEMQDWRD6WIN67AQONL2UMD

not attested not anchored not stored refs pending

Adelic descent for continuous localizing invariants

Grigorii Konovalov

arxiv:2507.20359 v2 · 2025-07-27 · 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{BOLEEMQDWRD6WIN67AQONL2UMD}

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	2026-07-05T11:58:33.216564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b96423203b447eb21bef820e6af5460d558a3c1650c6997a43da5c9a38eace3

Aliases

arxiv: 2507.20359 · arxiv_version: 2507.20359v2 · doi: 10.48550/arxiv.2507.20359 · pith_short_12: BOLEEMQDWRD6 · pith_short_16: BOLEEMQDWRD6WIN6 · pith_short_8: BOLEEMQD

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/BOLEEMQDWRD6WIN67AQONL2UMD \
  | 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: 0b96423203b447eb21bef820e6af5460d558a3c1650c6997a43da5c9a38eace3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "009084c3992ed391f1b0d26e21c0c1b2a8cb2effb24c661d7283e255477095d5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-27T17:15:22Z",
    "title_canon_sha256": "932422e938b21bf734e26a878b76510d640a19456c3160521c89082a533553af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20359",
    "kind": "arxiv",
    "version": 2
  }
}