Pith Number

pith:HWBKGD5G

pith:2025:HWBKGD5GT4B5F47MASUDEAGARF

not attested not anchored not stored refs pending

Some applications of the Nygaard filtration and quasisyntomic descent in positive characteristic

Livia Grammatica

arxiv:2507.08568 v1 · 2025-07-11 · 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{HWBKGD5GT4B5F47MASUDEAGARF}

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	2026-07-05T11:35:42.104381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d82a30fa69f03d2f3ec04a83200c08952af1628a86b4da918aad0a59c0046be

Aliases

arxiv: 2507.08568 · arxiv_version: 2507.08568v1 · doi: 10.48550/arxiv.2507.08568 · pith_short_12: HWBKGD5GT4B5 · pith_short_16: HWBKGD5GT4B5F47M · pith_short_8: HWBKGD5G

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/HWBKGD5GT4B5F47MASUDEAGARF \
  | 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: 3d82a30fa69f03d2f3ec04a83200c08952af1628a86b4da918aad0a59c0046be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639707d52ed5d5512de1438851c0a787bf13525deabe01a09b637a310de32771",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-11T13:12:44Z",
    "title_canon_sha256": "f8fedce2e44277f541e13162fb14c469d75d91b93cce8266e405bd58a9b29946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08568",
    "kind": "arxiv",
    "version": 1
  }
}