Pith Number

pith:YN2JJOZK

pith:2018:YN2JJOZKM6TG3VSN6Z5WMNJLOE

not attested not anchored not stored refs pending

Nonplanar graphs in boundaries of CAT(0) groups

Emily Stark, Kevin Schreve

arxiv:1807.02439 v1 · 2018-07-06 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YN2JJOZKM6TG3VSN6Z5WMNJLOE}

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	2026-05-18T00:11:22.025278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c37494bb2a67a66dd64df67b66352b712ebfa13c92b557a960d7567abacf1912

Aliases

arxiv: 1807.02439 · arxiv_version: 1807.02439v1 · doi: 10.48550/arxiv.1807.02439 · pith_short_12: YN2JJOZKM6TG · pith_short_16: YN2JJOZKM6TG3VSN · pith_short_8: YN2JJOZK

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/YN2JJOZKM6TG3VSN6Z5WMNJLOE \
  | 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: c37494bb2a67a66dd64df67b66352b712ebfa13c92b557a960d7567abacf1912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20cef0a739136868821bd6c2848e40dea5cb19004d72479673d166090aa5b1ed",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-07-06T15:01:11Z",
    "title_canon_sha256": "f8611f7b4b06d2265228538c365342de95a25bc332923f2d5e577f99a4a7db60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02439",
    "kind": "arxiv",
    "version": 1
  }
}