Pith Number

pith:6N3X2RSQ

pith:2014:6N3X2RSQOONYJYPHI3O6XFYCAA

not attested not anchored not stored refs pending

Surface embedding of $(n,k)$-extendable graphs

David G.L. Wang, Hongliang Lu

arxiv:1408.4046 v1 · 2014-08-18 · 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{6N3X2RSQOONYJYPHI3O6XFYCAA}

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	2026-05-18T02:44:57.372702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3777d4650739b84e1e746ddeb9702003291b4efd55653f60323a81d97a4a1d7

Aliases

arxiv: 1408.4046 · arxiv_version: 1408.4046v1 · doi: 10.48550/arxiv.1408.4046 · pith_short_12: 6N3X2RSQOONY · pith_short_16: 6N3X2RSQOONYJYPH · pith_short_8: 6N3X2RSQ

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/6N3X2RSQOONYJYPHI3O6XFYCAA \
  | 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: f3777d4650739b84e1e746ddeb9702003291b4efd55653f60323a81d97a4a1d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "270edb434a095ad2c934efa3a7a3a604b3f9a3b8656449a85633f8fef6fca7c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-18T15:42:30Z",
    "title_canon_sha256": "4d01b56adfec26ffc1034e5fda4c77d0ee90be52a970542dbf62b1b7e67d609a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4046",
    "kind": "arxiv",
    "version": 1
  }
}