Pith Number

pith:XOQQC2GQ

pith:2001:XOQQC2GQYKZ66UX73J3BTX2C4K

not attested not anchored not stored refs pending

La filtration de Krull de la categorie U et la cohomologie des espaces

Lionel Schwartz

arxiv:math/0110230 v1 · 2001-10-20 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOQQC2GQYKZ66UX73J3BTX2C4K}

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	2026-05-18T02:41:33.205162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bba10168d0c2b3ef52ffda7619df42e2abfbaea52ff26c3dd215b382b4f6099a

Aliases

arxiv: math/0110230 · arxiv_version: math/0110230v1 · doi: 10.48550/arxiv.math/0110230 · pith_short_12: XOQQC2GQYKZ6 · pith_short_16: XOQQC2GQYKZ66UX7 · pith_short_8: XOQQC2GQ

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/XOQQC2GQYKZ66UX73J3BTX2C4K \
  | 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: bba10168d0c2b3ef52ffda7619df42e2abfbaea52ff26c3dd215b382b4f6099a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8012cacb936a35e0055608ea263ee2fb7620b0057f962d934257d649a7b97d66",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2001-10-20T13:35:38Z",
    "title_canon_sha256": "b2759a24b6ea508e593f9567b586eefd7b433775712bfaa32732da5d2d9b415c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110230",
    "kind": "arxiv",
    "version": 1
  }
}