Pith Number

pith:XQFDJS5J

pith:2012:XQFDJS5J6O4MWTQDLIDM4MOHBT

not attested not anchored not stored refs pending

Cohomologie $L^p$ en degr\'e 1 des espaces homog\`enes

Pierre Pansu (LM-Orsay)

arxiv:1207.5668 v1 · 2012-07-24 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQFDJS5J6O4MWTQDLIDM4MOHBT}

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	2026-05-18T03:50:11.663443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc0a34cba9f3b8cb4e035a06ce31c70cc1e5444474ff14035dfbdee0bf07e483

Aliases

arxiv: 1207.5668 · arxiv_version: 1207.5668v1 · doi: 10.48550/arxiv.1207.5668 · pith_short_12: XQFDJS5J6O4M · pith_short_16: XQFDJS5J6O4MWTQD · pith_short_8: XQFDJS5J

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/XQFDJS5J6O4MWTQDLIDM4MOHBT \
  | 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: bc0a34cba9f3b8cb4e035a06ce31c70cc1e5444474ff14035dfbdee0bf07e483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4950c28e5517976ffcbe1682a2d78e718e81910995d11cba7242a88af805f3ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-24T12:00:20Z",
    "title_canon_sha256": "fa4d0257d398218c371af648c8417165ad31e51a6839538138daf087d7826535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5668",
    "kind": "arxiv",
    "version": 1
  }
}