Pith Number

pith:6RSI2NCP

pith:2010:6RSI2NCPPLZB3VV2U76KNRYVLT

not attested not anchored not stored refs pending

Divergence, exotic convergence and self-bumping in quasi-Fuchsian spaces

Ken'ichi Ohshika

arxiv:1010.0070 v4 · 2010-10-01 · 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{6RSI2NCPPLZB3VV2U76KNRYVLT}

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	2026-05-17T23:58:42.824380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4648d344f7af21dd6baa7fca6c7155ce45e7901bc4c58a63836173355c79233

Aliases

arxiv: 1010.0070 · arxiv_version: 1010.0070v4 · doi: 10.48550/arxiv.1010.0070 · pith_short_12: 6RSI2NCPPLZB · pith_short_16: 6RSI2NCPPLZB3VV2 · pith_short_8: 6RSI2NCP

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/6RSI2NCPPLZB3VV2U76KNRYVLT \
  | 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: f4648d344f7af21dd6baa7fca6c7155ce45e7901bc4c58a63836173355c79233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b68cf7f99d08edaea53f555d16fa7e729515b40c953702b2f4626f00be6efaa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-01T06:01:19Z",
    "title_canon_sha256": "dfa2fd8c60a2178585501cc9cc88b50311cd41814ea0b1b01525ea08aa4a5735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0070",
    "kind": "arxiv",
    "version": 4
  }
}