Pith Number

pith:ZN5POEXY

pith:2017:ZN5POEXYXBBWLWBNGLFS7NBD4A

not attested not anchored not stored refs pending

Injective chromatic number of outerplanar graphs

Behnaz Omoomi, Mahsa Mozafari-Nia

arxiv:1706.02335 v1 · 2017-06-07 · 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{ZN5POEXYXBBWLWBNGLFS7NBD4A}

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	2026-05-18T00:42:45.727637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7af712f8b84365d82d32cb2fb423e02cdbbf4b4b09ea61234537726fed45a0

Aliases

arxiv: 1706.02335 · arxiv_version: 1706.02335v1 · doi: 10.48550/arxiv.1706.02335 · pith_short_12: ZN5POEXYXBBW · pith_short_16: ZN5POEXYXBBWLWBN · pith_short_8: ZN5POEXY

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/ZN5POEXYXBBWLWBNGLFS7NBD4A \
  | 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: cb7af712f8b84365d82d32cb2fb423e02cdbbf4b4b09ea61234537726fed45a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6fac02ec7458bd059eb5a7d89b8d7174943b7a3a94e7b3aa853e3fadc6fb3bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-07T18:50:14Z",
    "title_canon_sha256": "de398c818f43ead7f08e4577da99a3e7ea65923e6d3a80600156f5da68e0079b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02335",
    "kind": "arxiv",
    "version": 1
  }
}