Pith Number

pith:TV5FR257

pith:2013:TV5FR257DFK7NVLI5BWW5RPBZD

not attested not anchored not stored refs pending

Weak coherence of groups and finite decomposition complexity

Boris Goldfarb

arxiv:1307.5345 v2 · 2013-07-19 · math.GT · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TV5FR257DFK7NVLI5BWW5RPBZD}

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	2026-05-18T00:10:52.503369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d7a58ebbf1955f6d568e86d6ec5e1c8e0f8d2b7cf9e08cbc5295f7e617775ca

Aliases

arxiv: 1307.5345 · arxiv_version: 1307.5345v2 · doi: 10.48550/arxiv.1307.5345 · pith_short_12: TV5FR257DFK7 · pith_short_16: TV5FR257DFK7NVLI · pith_short_8: TV5FR257

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/TV5FR257DFK7NVLI5BWW5RPBZD \
  | 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: 9d7a58ebbf1955f6d568e86d6ec5e1c8e0f8d2b7cf9e08cbc5295f7e617775ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe601c848c40d7a58e3ef2e6f2d90ddd0ce47ac14702eab07a3f08e32b5763f",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-19T22:33:43Z",
    "title_canon_sha256": "5475951695b66843323ae696f368f766c0c5816cac2c712e17abaa6c35647499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5345",
    "kind": "arxiv",
    "version": 2
  }
}