Pith Number

pith:OPZOCP52

pith:2022:OPZOCP52NQB5Z2CBNEYOT3TVXK

not attested not anchored not stored refs pending

Relative $A_{\rm inf}$-cohomology

Ildar Gaisin, Teruhisa Koshikawa

arxiv:2206.07983 v1 · 2022-06-16 · 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{OPZOCP52NQB5Z2CBNEYOT3TVXK}

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.

Cited by

1 paper in Pith

Ogus's conjecture on F-isocrystals

Receipt and verification

First computed	2026-07-05T04:32:20.905112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f2e13fba6c03dce8416930e9ee75babddc7d1262f7c04c339ffebede231a1e

Aliases

arxiv: 2206.07983 · arxiv_version: 2206.07983v1 · doi: 10.48550/arxiv.2206.07983 · pith_short_12: OPZOCP52NQB5 · pith_short_16: OPZOCP52NQB5Z2CB · pith_short_8: OPZOCP52

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/OPZOCP52NQB5Z2CBNEYOT3TVXK \
  | 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: 73f2e13fba6c03dce8416930e9ee75babddc7d1262f7c04c339ffebede231a1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8029efd01876bed7fdd11db02db06a560d52b0f71c4b2c9cede157101e5c82e0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-06-16T07:49:37Z",
    "title_canon_sha256": "0e5dd02093464ce00845f52eb534345aadfd4befc455eedeb41771d3924caa01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.07983",
    "kind": "arxiv",
    "version": 1
  }
}