Pith Number

pith:ILC2JD7Z

pith:2013:ILC2JD7ZAFIYCMZUSIDJFFOEXV

not attested not anchored not stored refs pending

Parabolic isometries of visible CAT(0) spaces and metrics on moduli space

Yunhui Wu

arxiv:1302.1618 v1 · 2013-02-06 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILC2JD7ZAFIYCMZUSIDJFFOEXV}

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	2026-05-18T03:34:15.286966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42c5a48ff9015181333492069295c4bd58514b34cbe787ecf5101e343324ba18

Aliases

arxiv: 1302.1618 · arxiv_version: 1302.1618v1 · doi: 10.48550/arxiv.1302.1618 · pith_short_12: ILC2JD7ZAFIY · pith_short_16: ILC2JD7ZAFIYCMZU · pith_short_8: ILC2JD7Z

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/ILC2JD7ZAFIYCMZUSIDJFFOEXV \
  | 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: 42c5a48ff9015181333492069295c4bd58514b34cbe787ecf5101e343324ba18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "543a64414127fd20d45b3c35c11622fdae317911ffffb1b2d12b8e0480f40188",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-06T23:57:26Z",
    "title_canon_sha256": "d2fa9ae5b425db9aec745b6c2487599be688f834c017c49cada811531eb38ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1618",
    "kind": "arxiv",
    "version": 1
  }
}