Pith Number

pith:3J5J2YNM

pith:2025:3J5J2YNMX62MB55K7WGY74JGWR

not attested not anchored not stored refs pending

An integral analogue of Fontaine's crystalline functor

Alex Youcis, Hiroki Kato, Naoki Imai

arxiv:2504.16282 v1 · 2025-04-22 · 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{3J5J2YNMX62MB55K7WGY74JGWR}

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	2026-07-05T10:52:44.205910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da7a9d61acbfb4c0f7aafd8d8ff126b447796244ce0a4fb3087c958dd1ef35ce

Aliases

arxiv: 2504.16282 · arxiv_version: 2504.16282v1 · doi: 10.48550/arxiv.2504.16282 · pith_short_12: 3J5J2YNMX62M · pith_short_16: 3J5J2YNMX62MB55K · pith_short_8: 3J5J2YNM

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/3J5J2YNMX62MB55K7WGY74JGWR \
  | 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: da7a9d61acbfb4c0f7aafd8d8ff126b447796244ce0a4fb3087c958dd1ef35ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ba84f7abc15f644c2ea7e36a1f3ea94b3a521eeedc1cd16e6d5311b7f27486",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-22T21:35:14Z",
    "title_canon_sha256": "6b2139930cf09b5cdb3c1116fe22124e7ca03c5a6a9c23eea645fcd51d2ee248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16282",
    "kind": "arxiv",
    "version": 1
  }
}