Pith Number

pith:CB4ONERW

pith:2017:CB4ONERWX2V3IN2R2WZGYMWS5D

not attested not anchored not stored refs pending

Extremal Theta-free planar graphs

Yongtang Shi, Yongxin Lan, Zi-Xia Song

arxiv:1711.01614 v3 · 2017-11-05 · 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{CB4ONERWX2V3IN2R2WZGYMWS5D}

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	2026-05-17T23:52:55.960551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1078e69236beabb43751d5b26c32d2e8dac96e3089ab4775df58e4cf7e0967b3

Aliases

arxiv: 1711.01614 · arxiv_version: 1711.01614v3 · doi: 10.48550/arxiv.1711.01614 · pith_short_12: CB4ONERWX2V3 · pith_short_16: CB4ONERWX2V3IN2R · pith_short_8: CB4ONERW

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/CB4ONERWX2V3IN2R2WZGYMWS5D \
  | 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: 1078e69236beabb43751d5b26c32d2e8dac96e3089ab4775df58e4cf7e0967b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "484928a86f40a8e1ae2733cbf62d0fc55c16c9e59d7b6448b5fb4f575adcb8f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-05T16:50:52Z",
    "title_canon_sha256": "28437ecd194d3a39eda4acbab0984bd587ab7f0bc7217a68823bf87bd4a70a32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01614",
    "kind": "arxiv",
    "version": 3
  }
}