Pith Number

pith:AUOPSFWF

pith:2023:AUOPSFWF7W54N27IBTOI5RYD3Z

not attested not anchored not stored refs pending

Fppf-descent for condensed animated rings

Yutaro Mikami

arxiv:2311.13408 v1 · 2023-11-22 · 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{AUOPSFWF7W54N27IBTOI5RYD3Z}

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

An axiomatic approach to analytic $1$-affineness

Receipt and verification

First computed	2026-07-05T07:15:29.059187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

051cf916c5fdbbc6ebe80cdc8ec703de658a43ecef2c2302ac7a7388a3a53a95

Aliases

arxiv: 2311.13408 · arxiv_version: 2311.13408v1 · doi: 10.48550/arxiv.2311.13408 · pith_short_12: AUOPSFWF7W54 · pith_short_16: AUOPSFWF7W54N27I · pith_short_8: AUOPSFWF

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/AUOPSFWF7W54N27IBTOI5RYD3Z \
  | 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: 051cf916c5fdbbc6ebe80cdc8ec703de658a43ecef2c2302ac7a7388a3a53a95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "134ca8126c1506fb60c09cb63a338a5d3a61be2a648ac813dd59d0c8ce52ed43",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-11-22T14:11:49Z",
    "title_canon_sha256": "8a838603f1c4c4818d2312090c5b6981b877ba4067d26faa4cf133a5277f1f2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.13408",
    "kind": "arxiv",
    "version": 1
  }
}