Pith Number

pith:JXWVCZ5J

pith:2019:JXWVCZ5JRTXGJXP5IR2WEGE3I3

not attested not anchored not stored refs pending

Stature and separability in graphs of groups

Daniel T. Wise, Jingyin Huang

arxiv:1904.06021 v1 · 2019-04-12 · 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{JXWVCZ5JRTXGJXP5IR2WEGE3I3}

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.

Cited by

1 paper in Pith

Virtual specialness of the double

Receipt and verification

First computed	2026-05-17T23:48:44.487429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ded5167a98cee64ddfd447562189b46ef31240bd02842858a2bc9063c00ae96

Aliases

arxiv: 1904.06021 · arxiv_version: 1904.06021v1 · doi: 10.48550/arxiv.1904.06021 · pith_short_12: JXWVCZ5JRTXG · pith_short_16: JXWVCZ5JRTXGJXP5 · pith_short_8: JXWVCZ5J

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/JXWVCZ5JRTXGJXP5IR2WEGE3I3 \
  | 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: 4ded5167a98cee64ddfd447562189b46ef31240bd02842858a2bc9063c00ae96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4efdc6ded818002bea9db515a690512b4f92597b07ec6574d75cc210284820",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-04-12T03:08:16Z",
    "title_canon_sha256": "7b84edec8ac2ea00d759269152677888002d18e655d89223304949df85712e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06021",
    "kind": "arxiv",
    "version": 1
  }
}