Pith Number

pith:LNFDJOXT

pith:2013:LNFDJOXTMLMS7UXLEFVY2DI6EM

not attested not anchored not stored refs pending

Effective coherence of groups discriminated by a locally quasi-convex hyperbolic group

Inna Bumagin, Jeremy Macdonald

arxiv:1307.6783 v2 · 2013-07-25 · 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{LNFDJOXTMLMS7UXLEFVY2DI6EM}

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	2026-05-18T02:31:36.212965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b4a34baf362d92fd2eb216b8d0d1e23218bd5b0f454420891361fde76cccc9d

Aliases

arxiv: 1307.6783 · arxiv_version: 1307.6783v2 · doi: 10.48550/arxiv.1307.6783 · pith_short_12: LNFDJOXTMLMS · pith_short_16: LNFDJOXTMLMS7UXL · pith_short_8: LNFDJOXT

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/LNFDJOXTMLMS7UXLEFVY2DI6EM \
  | 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: 5b4a34baf362d92fd2eb216b8d0d1e23218bd5b0f454420891361fde76cccc9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3adb7f30d3265b358d7cad70a01ebd24b47ee58321cf318e63f28878ad98234",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-07-25T15:20:16Z",
    "title_canon_sha256": "ad38c8ff74c459c39ccfb79451c4e119c6d23586414d4d7306d6c925c5459e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6783",
    "kind": "arxiv",
    "version": 2
  }
}