Pith Number

pith:45VP35OB

pith:2012:45VP35OBCQHL3ENU62SOTJHHEX

not attested not anchored not stored refs pending

On Cannon-Thurston maps for relatively hyperbolic groups

Shin-ichi Oguni, Yoshifumi Matsuda

arxiv:1206.5868 v1 · 2012-06-26 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45VP35OBCQHL3ENU62SOTJHHEX}

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	2026-05-18T03:52:37.878665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e76afdf5c1140ebd91b4f6a4e9a4e725eb9d307b234997b13bb2a65259db84db

Aliases

arxiv: 1206.5868 · arxiv_version: 1206.5868v1 · doi: 10.48550/arxiv.1206.5868 · pith_short_12: 45VP35OBCQHL · pith_short_16: 45VP35OBCQHL3ENU · pith_short_8: 45VP35OB

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/45VP35OBCQHL3ENU62SOTJHHEX \
  | 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: e76afdf5c1140ebd91b4f6a4e9a4e725eb9d307b234997b13bb2a65259db84db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc8c4e66e4d18929c8423603986e0ab977827f8ad96c9baf0271a382360ce215",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-06-26T01:04:41Z",
    "title_canon_sha256": "351d807f29c9e47a0c73f9120153b4250388dbeb3d97e7384314464cbca2065e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5868",
    "kind": "arxiv",
    "version": 1
  }
}