Pith Number

pith:FHBJAJWF

pith:2004:FHBJAJWF2KDI6X6NH5IQH3KQWX

not attested not anchored not stored refs pending

Foundations for almost ring theory -- Release 7.5

Lorenzo Ramero, Ofer Gabber

arxiv:math/0409584 v13 · 2004-09-29 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHBJAJWF2KDI6X6NH5IQH3KQWX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

4 papers in Pith

Algebraization of absolute perfectoidization via section rings

A local-global correspondence for perfectoid purity

Flat Cohomological Purity for Syntomic Schemes over Valuation Rings

Receipt and verification

First computed	2026-05-18T00:04:24.627950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c29026c5d2868f5fcd3f5103ed50b5e7f12a11f862ab14cd3d17fbf5ac0a33

Aliases

arxiv: math/0409584 · arxiv_version: math/0409584v13 · doi: 10.48550/arxiv.math/0409584 · pith_short_12: FHBJAJWF2KDI · pith_short_16: FHBJAJWF2KDI6X6N · pith_short_8: FHBJAJWF

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/FHBJAJWF2KDI6X6NH5IQH3KQWX \
  | 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: 29c29026c5d2868f5fcd3f5103ed50b5e7f12a11f862ab14cd3d17fbf5ac0a33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a023318b36f5182dbd45ca9db64198b4268ea8fde134f48ff3851baaae0c9012",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2004-09-29T18:34:37Z",
    "title_canon_sha256": "e8976b41c7684f97dae39cd9ca8781ad08819f56e6d84d40246abf2b809a5b1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409584",
    "kind": "arxiv",
    "version": 13
  }
}