Pith Number

pith:YBYGOO3O

pith:2017:YBYGOO3O7ZFNORIFOMJSEFGMNQ

not attested not anchored not stored refs pending

On the hyperbolic distance of $n$-times punctured spheres

Matti Vuorinen, Tanran Zhang, Toshiyuki Sugawa

arxiv:1707.05773 v1 · 2017-07-18 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBYGOO3O7ZFNORIFOMJSEFGMNQ}

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	2026-05-18T00:40:01.499086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c070673b6efe4ad7450573132214cc6c3d718d057ad92677a0bbe2a2e1f5bf12

Aliases

arxiv: 1707.05773 · arxiv_version: 1707.05773v1 · doi: 10.48550/arxiv.1707.05773 · pith_short_12: YBYGOO3O7ZFN · pith_short_16: YBYGOO3O7ZFNORIF · pith_short_8: YBYGOO3O

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/YBYGOO3O7ZFNORIFOMJSEFGMNQ \
  | 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: c070673b6efe4ad7450573132214cc6c3d718d057ad92677a0bbe2a2e1f5bf12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "864ad518744cf0ef296cc5c9e0e986b4d0b560f36c6c6f2851afff6d1a21e5f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-07-18T17:51:55Z",
    "title_canon_sha256": "267c99be26ab02d1a55aa9ddf64a5a0ed551ba3abd933d0f7c6694eef96458ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05773",
    "kind": "arxiv",
    "version": 1
  }
}