Pith Number

pith:GC5KBYLL

pith:2012:GC5KBYLLXFBBN4UYE3ULS3QEBX

not attested not anchored not stored refs pending

Blowing up and down compacta with geometrically finite convergence actions of a group

Saeko Yamagata, Shin-ichi Oguni, Yoshifumi Matsuda

arxiv:1201.6104 v3 · 2012-01-30 · 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{GC5KBYLLXFBBN4UYE3ULS3QEBX}

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	2026-05-18T03:22:08.206939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30baa0e16bb94216f29826e8b96e040dceabd04881c7fe4b4b552fcc4f33d88c

Aliases

arxiv: 1201.6104 · arxiv_version: 1201.6104v3 · doi: 10.48550/arxiv.1201.6104 · pith_short_12: GC5KBYLLXFBB · pith_short_16: GC5KBYLLXFBBN4UY · pith_short_8: GC5KBYLL

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/GC5KBYLLXFBBN4UYE3ULS3QEBX \
  | 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: 30baa0e16bb94216f29826e8b96e040dceabd04881c7fe4b4b552fcc4f33d88c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9de0ed39c9163abf5a62e6a8d17290d797e19146e0a03215c330151369dffa39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-01-30T04:19:14Z",
    "title_canon_sha256": "10ccd8031679790679d1dffafa1a915dfbb4c67a4e4dcf29080f65e93920c294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6104",
    "kind": "arxiv",
    "version": 3
  }
}