Pith Number

pith:X73I6VUD

pith:2005:X73I6VUD2BFYASDX73GWSAHOMU

not attested not anchored not stored refs pending

First cohomology and local rigidity of group actions

David Fisher

arxiv:math/0505520 v7 · 2005-05-24 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X73I6VUD2BFYASDX73GWSAHOMU}

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	2026-05-18T03:32:45.914851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff68f5683d04b804877fecd6900ee651c548b7fdf428714f8d6abd363e553cd

Aliases

arxiv: math/0505520 · arxiv_version: math/0505520v7 · doi: 10.48550/arxiv.math/0505520 · pith_short_12: X73I6VUD2BFY · pith_short_16: X73I6VUD2BFYASDX · pith_short_8: X73I6VUD

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/X73I6VUD2BFYASDX73GWSAHOMU \
  | 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: bff68f5683d04b804877fecd6900ee651c548b7fdf428714f8d6abd363e553cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230d6691bad21d743169632fd788012dfe7881beeb8b9e6e0a8c07f17ba79471",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-05-24T23:48:25Z",
    "title_canon_sha256": "4f09a08b3070c55d5fc32e60b26ac878f207f23ca5482a387be0a7377f7e723d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505520",
    "kind": "arxiv",
    "version": 7
  }
}