Pith Number

pith:7PTRRJZH

pith:2012:7PTRRJZH34KGTUBR2WI4PZKGSW

not attested not anchored not stored refs pending

Bredon cohomological dimensions for groups acting on CAT(0)-spaces

Dieter Degrijse, Nansen Petrosyan

arxiv:1208.3884 v1 · 2012-08-19 · math.GR · 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{7PTRRJZH34KGTUBR2WI4PZKGSW}

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	2026-05-18T03:48:25.867608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbe718a727df1469d031d591c7e54695ba6507d3c6b73c00cf3e348f812728a7

Aliases

arxiv: 1208.3884 · arxiv_version: 1208.3884v1 · doi: 10.48550/arxiv.1208.3884 · pith_short_12: 7PTRRJZH34KG · pith_short_16: 7PTRRJZH34KGTUBR · pith_short_8: 7PTRRJZH

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/7PTRRJZH34KGTUBR2WI4PZKGSW \
  | 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: fbe718a727df1469d031d591c7e54695ba6507d3c6b73c00cf3e348f812728a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ed808858c687133625a46f928842f5ffecf4e33b6079b36b992c7ca4554cd0e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-08-19T19:50:15Z",
    "title_canon_sha256": "7781ac1eb58abed5f59df010f6db18afde89aeec83372052bc3434b371731397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3884",
    "kind": "arxiv",
    "version": 1
  }
}