Pith Number

pith:GAGNBKIP

pith:2013:GAGNBKIPDBD6DRLM64QCHFRCLW

not attested not anchored not stored refs pending

Coronae of relatively hyperbolic groups and coarse cohomologies

Shin-ichi Oguni, Tomohiro Fukaya

arxiv:1303.1865 v2 · 2013-03-08 · 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{GAGNBKIPDBD6DRLM64QCHFRCLW}

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	2026-05-18T00:44:29.985355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

300cd0a90f1847e1c56cf7202396225db06eb129912eafd238526c01810f095c

Aliases

arxiv: 1303.1865 · arxiv_version: 1303.1865v2 · doi: 10.48550/arxiv.1303.1865 · pith_short_12: GAGNBKIPDBD6 · pith_short_16: GAGNBKIPDBD6DRLM · pith_short_8: GAGNBKIP

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/GAGNBKIPDBD6DRLM64QCHFRCLW \
  | 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: 300cd0a90f1847e1c56cf7202396225db06eb129912eafd238526c01810f095c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d242dee8eca6e2e0d9b97fa5ea36b4a4cae38dad5abb81fd393b1d3af56a20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-03-08T01:24:20Z",
    "title_canon_sha256": "1bdde08fbaffe9e25f610f999ec13a34170ba77591111d1d5d539b1f11f61da2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1865",
    "kind": "arxiv",
    "version": 2
  }
}