Pith Number

pith:XDGOEIBR

pith:2018:XDGOEIBRHQVAYKUEYEVHVR6HDE

not attested not anchored not stored refs pending

Extremal $H$-free planar graphs

Yongtang Shi, Yongxin Lan, Zi-Xia Song

arxiv:1808.01487 v1 · 2018-08-04 · 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{XDGOEIBRHQVAYKUEYEVHVR6HDE}

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	2026-05-18T00:08:52.811449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8cce220313c2a0c2a84c12a7ac7c71906412c5ffc6de8369dcccc372c94c661

Aliases

arxiv: 1808.01487 · arxiv_version: 1808.01487v1 · doi: 10.48550/arxiv.1808.01487 · pith_short_12: XDGOEIBRHQVA · pith_short_16: XDGOEIBRHQVAYKUE · pith_short_8: XDGOEIBR

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/XDGOEIBRHQVAYKUEYEVHVR6HDE \
  | 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: b8cce220313c2a0c2a84c12a7ac7c71906412c5ffc6de8369dcccc372c94c661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3bb2a3822787ebb239300a247c05f883128a8ecbad217a5fc1353c73b32ec7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-04T14:41:45Z",
    "title_canon_sha256": "3a1ed2587c18491622b77125f566986b5b67119cc1697408f40cfc0a4904929c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01487",
    "kind": "arxiv",
    "version": 1
  }
}