Pith Number

pith:WKQSJ7XT

pith:2015:WKQSJ7XTDQTTIN64KHDYUIWSR3

not attested not anchored not stored refs pending

On the first cohomology of automorphism groups of graph groups

Conchita Mart\'inez-P\'erez, Javier Aramayona

arxiv:1504.07449 v5 · 2015-04-28 · 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{WKQSJ7XTDQTTIN64KHDYUIWSR3}

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	2026-05-18T00:46:02.866037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2a124fef31c273437dc51c78a22d28edc484395469a9d0fdb4c30aeb9a4ccd2

Aliases

arxiv: 1504.07449 · arxiv_version: 1504.07449v5 · doi: 10.48550/arxiv.1504.07449 · pith_short_12: WKQSJ7XTDQTT · pith_short_16: WKQSJ7XTDQTTIN64 · pith_short_8: WKQSJ7XT

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/WKQSJ7XTDQTTIN64KHDYUIWSR3 \
  | 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: b2a124fef31c273437dc51c78a22d28edc484395469a9d0fdb4c30aeb9a4ccd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4593e37f7f5a6bd244f77a90bd53d5498f36f49fac3edffbde9c60122d819bf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-28T12:35:42Z",
    "title_canon_sha256": "6dbaa3c97ad566f87c875157c1c50decf2d6affde37b8d0d5d39ef42c0144288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07449",
    "kind": "arxiv",
    "version": 5
  }
}