Pith Number

pith:VY7AXSY3

pith:2005:VY7AXSY3FBUUZE4Q3HNQNC5U7T

not attested not anchored not stored refs pending

Cohomology of the Grothendieck construction

Maria Julia Redondo, Teimuraz Pirashvili

arxiv:math/0504282 v1 · 2005-04-13 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VY7AXSY3FBUUZE4Q3HNQNC5U7T}

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	2026-05-18T04:38:05.161785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae3e0bcb1b28694c9390d9db068bb4fcfdcb26db5aef4d4a547159279ab4314d

Aliases

arxiv: math/0504282 · arxiv_version: math/0504282v1 · doi: 10.48550/arxiv.math/0504282 · pith_short_12: VY7AXSY3FBUU · pith_short_16: VY7AXSY3FBUUZE4Q · pith_short_8: VY7AXSY3

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/VY7AXSY3FBUUZE4Q3HNQNC5U7T \
  | 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: ae3e0bcb1b28694c9390d9db068bb4fcfdcb26db5aef4d4a547159279ab4314d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d835a4476bb2805a6ed428f200f4f3272b4ecafd14166209484388300f48ca4a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2005-04-13T20:30:45Z",
    "title_canon_sha256": "5c3a5a4cc20524845570a15c6d709007312b46623fdf04603538ddf85211f39e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504282",
    "kind": "arxiv",
    "version": 1
  }
}