Pith Number

pith:FFCXLAD5

pith:2010:FFCXLAD5O2YH2UTDXN3TD2VX7D

not attested not anchored not stored refs pending

On the dimension growth of groups

Alexander Dranishnikov, Mark Sapir

arxiv:1008.3868 v4 · 2010-08-23 · math.GR · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFCXLAD5O2YH2UTDXN3TD2VX7D}

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	2026-05-18T03:50:22.134745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

294575807d76b07d5263bb7731eab7f8feb701607d58e58f0919975b8e271c2a

Aliases

arxiv: 1008.3868 · arxiv_version: 1008.3868v4 · doi: 10.48550/arxiv.1008.3868 · pith_short_12: FFCXLAD5O2YH · pith_short_16: FFCXLAD5O2YH2UTD · pith_short_8: FFCXLAD5

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/FFCXLAD5O2YH2UTDXN3TD2VX7D \
  | 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: 294575807d76b07d5263bb7731eab7f8feb701607d58e58f0919975b8e271c2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c8d43ce01649b2604464e59eba74902f9e14c5aea76b05af8a43fcf1d51e67a",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-23T17:39:53Z",
    "title_canon_sha256": "cba8429a26c7acd38f03c74704845e50bf1fd6c57cf322850584633d4af8bc81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3868",
    "kind": "arxiv",
    "version": 4
  }
}