Pith Number

pith:73RAERIA

pith:2009:73RAERIAVFAMVQXSWHYJKHFB6T

not attested not anchored not stored refs pending

Contracting automorphisms and L^p-cohomology in degree one

Romain Tessera, Yves Cornulier

arxiv:0908.2603 v2 · 2009-08-18 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73RAERIAVFAMVQXSWHYJKHFB6T}

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	2026-05-18T02:51:25.764468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fee2024500a940cac2f2b1f0951ca1f4f5f33611605916b05b20e20c0c02fd53

Aliases

arxiv: 0908.2603 · arxiv_version: 0908.2603v2 · doi: 10.48550/arxiv.0908.2603 · pith_short_12: 73RAERIAVFAM · pith_short_16: 73RAERIAVFAMVQXS · pith_short_8: 73RAERIA

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/73RAERIAVFAMVQXSWHYJKHFB6T \
  | 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: fee2024500a940cac2f2b1f0951ca1f4f5f33611605916b05b20e20c0c02fd53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4a771eff4e6dc65706c2641b99900d75586e6d7091e84db60d142250eb7bf3b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-08-18T17:17:40Z",
    "title_canon_sha256": "f483ee9f250c52cb69872b4929c1fceb63f274824c1af3bd63775f2d1d404f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2603",
    "kind": "arxiv",
    "version": 2
  }
}