Pith Number

pith:NNOG6OAP

pith:2019:NNOG6OAPWRKWXIBUS5HWUFUNI7

not attested not anchored not stored refs pending

On L(2,1)-labelings of oriented graphs

Ervin Gy\H{o}ri, Lucas Colucci

arxiv:1902.05467 v1 · 2019-02-14 · 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{NNOG6OAPWRKWXIBUS5HWUFUNI7}

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	2026-07-05T00:56:23.809867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b5c6f380fb4556ba034974f6a168d47ea25e92a76a13ccb0f376b609f6454ba

Aliases

arxiv: 1902.05467 · arxiv_version: 1902.05467v1 · doi: 10.48550/arxiv.1902.05467 · pith_short_12: NNOG6OAPWRKW · pith_short_16: NNOG6OAPWRKWXIBU · pith_short_8: NNOG6OAP

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/NNOG6OAPWRKWXIBUS5HWUFUNI7 \
  | 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: 6b5c6f380fb4556ba034974f6a168d47ea25e92a76a13ccb0f376b609f6454ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e68abc899c899234cdb01161a2ee85361ee85c1bc1f4d2f70ca92a7626cb9d32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-14T16:01:27Z",
    "title_canon_sha256": "7cdf5ea6e8d893ea29e69314d2d516cd247bf0bf75e0154106b564b29956df3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05467",
    "kind": "arxiv",
    "version": 1
  }
}