Pith Number

pith:REEH4BFA

pith:2015:REEH4BFA3VAMXG2YXQCG5S237T

not attested not anchored not stored refs pending

Formality properties of finitely generated groups and Lie algebras

Alexander I. Suciu, He Wang

arxiv:1504.08294 v5 · 2015-04-30 · math.GR · math.GT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REEH4BFA3VAMXG2YXQCG5S237T}

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	2026-05-17T23:41:57.015883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89087e04a0dd40cb9b58bc046ecb5bfce99bad41bff5292200291e1723d0044c

Aliases

arxiv: 1504.08294 · arxiv_version: 1504.08294v5 · doi: 10.48550/arxiv.1504.08294 · pith_short_12: REEH4BFA3VAM · pith_short_16: REEH4BFA3VAMXG2Y · pith_short_8: REEH4BFA

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/REEH4BFA3VAMXG2YXQCG5S237T \
  | 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: 89087e04a0dd40cb9b58bc046ecb5bfce99bad41bff5292200291e1723d0044c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c6e1cc9b698bbed55f782ce2f4981f69c2d07c48cf9b7f18e047b6eed9ac3b",
    "cross_cats_sorted": [
      "math.GT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-30T16:24:18Z",
    "title_canon_sha256": "87042498931cd3576e13b3dbe8adc31fd33ef6fdd2d2280fde85a39e8e8a1a1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08294",
    "kind": "arxiv",
    "version": 5
  }
}