Pith Number

pith:EINX3GQ5

pith:2011:EINX3GQ54PHQBZNDKNTSM4IP3V

not attested not anchored not stored refs pending

(Self-)similar groups and the Farrell-Jones conjectures

Laurent Bartholdi

arxiv:1107.5339 v2 · 2011-07-26 · math.KT · 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{EINX3GQ54PHQBZNDKNTSM4IP3V}

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	2026-05-18T02:28:32.203621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

221b7d9a1de3cf00e5a3536726710fdd7b50b70d075a8b1073d590510d38981c

Aliases

arxiv: 1107.5339 · arxiv_version: 1107.5339v2 · doi: 10.48550/arxiv.1107.5339 · pith_short_12: EINX3GQ54PHQ · pith_short_16: EINX3GQ54PHQBZND · pith_short_8: EINX3GQ5

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/EINX3GQ54PHQBZNDKNTSM4IP3V \
  | 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: 221b7d9a1de3cf00e5a3536726710fdd7b50b70d075a8b1073d590510d38981c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bab45385d3d6cd7c02254ec0f12451029ea7aba7e14442a85a0fe0fe1afbc1d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-07-26T21:37:25Z",
    "title_canon_sha256": "8bcd6da786d8aafe5b8b4b83749e526c06d2f7898d4ccc0b8595c57734a4a92e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5339",
    "kind": "arxiv",
    "version": 2
  }
}