Pith Number

pith:5JJPWEJQ

pith:2015:5JJPWEJQPCLPRN5VAQIAFALUN4

not attested not anchored not stored refs pending

Word-representability of triangulations of grid-covered cylinder graphs

Brian Y. Sun, Sergey Kitaev, Thomas Z.Q. Chen

arxiv:1507.06749 v2 · 2015-07-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JJPWEJQPCLPRN5VAQIAFALUN4}

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	2026-05-18T01:36:03.300371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea52fb11307896f8b7b504100281746f329c59f908241aeb5afc1d4270323b5f

Aliases

arxiv: 1507.06749 · arxiv_version: 1507.06749v2 · doi: 10.48550/arxiv.1507.06749 · pith_short_12: 5JJPWEJQPCLP · pith_short_16: 5JJPWEJQPCLPRN5V · pith_short_8: 5JJPWEJQ

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/5JJPWEJQPCLPRN5VAQIAFALUN4 \
  | 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: ea52fb11307896f8b7b504100281746f329c59f908241aeb5afc1d4270323b5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de6756320f7fe8b8c9744755380f6005be5549a6108f23fd9d003c3d04ff7262",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-24T05:45:16Z",
    "title_canon_sha256": "ae284cdd4f7c1220e9914a1d26e467a728354ff7c633f93a16ad8b7dc210e152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06749",
    "kind": "arxiv",
    "version": 2
  }
}