Pith Number

pith:CFMFRPI7

pith:2011:CFMFRPI7EXKBQGRLW52N57ZIEI

not attested not anchored not stored refs pending

A seven-term exact sequence for the cohomology of a group extension

Karel Dekimpe, Manfred Hartl, Sarah Wauters

arxiv:1103.4052 v2 · 2011-03-21 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFMFRPI7EXKBQGRLW52N57ZIEI}

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	2026-05-18T04:04:30.062105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

115858bd1f25d4181a2bb774deff28220a02446fbdb2cab4cd0858a4ca6f892e

Aliases

arxiv: 1103.4052 · arxiv_version: 1103.4052v2 · doi: 10.48550/arxiv.1103.4052 · pith_short_12: CFMFRPI7EXKB · pith_short_16: CFMFRPI7EXKBQGRL · pith_short_8: CFMFRPI7

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/CFMFRPI7EXKBQGRLW52N57ZIEI \
  | 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: 115858bd1f25d4181a2bb774deff28220a02446fbdb2cab4cd0858a4ca6f892e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "057008fb289e3e199f2a7ac192347ec8872ff89beadbb93dfef66738c12d4881",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-21T15:31:26Z",
    "title_canon_sha256": "498cb2881d7219a5ae71300457dec1840149ac58ab739892ed9a1ff14791d7a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4052",
    "kind": "arxiv",
    "version": 2
  }
}