Pith Number

pith:GJPEBCIQ

pith:2013:GJPEBCIQAIJJQRESPMREVPOPM7

not attested not anchored not stored refs pending

K-homological finiteness and hyperbolic groups

Bogdan Nica, Heath Emerson

arxiv:1312.4646 v3 · 2013-12-17 · math.OA · 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{GJPEBCIQAIJJQRESPMREVPOPM7}

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	2026-05-18T01:24:21.849465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

325e40891002129844927b224abdcf67e40a6b99ad714716b393f4afd0cf1913

Aliases

arxiv: 1312.4646 · arxiv_version: 1312.4646v3 · doi: 10.48550/arxiv.1312.4646 · pith_short_12: GJPEBCIQAIJJ · pith_short_16: GJPEBCIQAIJJQRES · pith_short_8: GJPEBCIQ

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/GJPEBCIQAIJJQRESPMREVPOPM7 \
  | 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: 325e40891002129844927b224abdcf67e40a6b99ad714716b393f4afd0cf1913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2b6209a5f546e668de830a19a50d0415a9b6ba5c79403b28785b15ec999c6b9",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-12-17T05:22:28Z",
    "title_canon_sha256": "e00fbc9ef3e157d32c3bb984441172896c367d6fa4fcc97afc767a491f941a40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4646",
    "kind": "arxiv",
    "version": 3
  }
}