Pith Number

pith:PLJ2NR2C

pith:2025:PLJ2NR2CCGQ6E37PZ5WV3SDB5U

not attested not anchored not stored refs pending

Grothendieck topologies with logarithmic modifications

Maximilian Schimpf, Xianyu Hu

arxiv:2510.23959 v2 · 2025-10-28 · 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{PLJ2NR2CCGQ6E37PZ5WV3SDB5U}

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	2026-06-30T01:17:28.226563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ad3a6c74211a1e26fefcf6d5dc861ed39e66517a25faa22fae0a0932d0ace8e

Aliases

arxiv: 2510.23959 · arxiv_version: 2510.23959v2 · doi: 10.48550/arxiv.2510.23959 · pith_short_12: PLJ2NR2CCGQ6 · pith_short_16: PLJ2NR2CCGQ6E37P · pith_short_8: PLJ2NR2C

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/PLJ2NR2CCGQ6E37PZ5WV3SDB5U \
  | 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: 7ad3a6c74211a1e26fefcf6d5dc861ed39e66517a25faa22fae0a0932d0ace8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edb7a18e16607359781a4a3bb4f886964e8a7fd51985301f3542ec38723c89be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-10-28T00:33:42Z",
    "title_canon_sha256": "10aae4ebcb997446eb09ab2b8c44627821024776189098c697576e2944308def"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.23959",
    "kind": "arxiv",
    "version": 2
  }
}