Pith Number

pith:KO5XRMJG

pith:2019:KO5XRMJGPKSYA3FHATR4ECSBNL

not attested not anchored not stored refs pending

Hyperbolicity constants for pants and relative pants graphs

Ashley Weber

arxiv:1905.13595 v1 · 2019-05-31 · 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{KO5XRMJGPKSYA3FHATR4ECSBNL}

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	2026-05-17T23:44:34.469918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53bb78b1267aa5806ca704e3c20a416ac569acd5bed867b2eb8eeb239fb63ef0

Aliases

arxiv: 1905.13595 · arxiv_version: 1905.13595v1 · doi: 10.48550/arxiv.1905.13595 · pith_short_12: KO5XRMJGPKSY · pith_short_16: KO5XRMJGPKSYA3FH · pith_short_8: KO5XRMJG

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/KO5XRMJGPKSYA3FHATR4ECSBNL \
  | 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: 53bb78b1267aa5806ca704e3c20a416ac569acd5bed867b2eb8eeb239fb63ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df0b550830e2bc63e6a4c88fcc1d6c5b72a0bf57e7d29ff18e61ff5f15db3c89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-05-31T13:02:09Z",
    "title_canon_sha256": "6248e11f09a309127b7ff360c1740b61e6e989612b9f653e013848b99d8bb47e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13595",
    "kind": "arxiv",
    "version": 1
  }
}