Pith Number

pith:RKR6GLIW

pith:2015:RKR6GLIWLBOZ2DEJJEKAG74FEO

not attested not anchored not stored refs pending

Colored graphs without colorful cycles

Ale\v{s} Pultr, Petr Vojt\v{e}chovsk\'y, Richard N. Ball

arxiv:1509.05621 v1 · 2015-09-18 · 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{RKR6GLIWLBOZ2DEJJEKAG74FEO}

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	2026-05-18T01:32:42.739576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aa3e32d16585d9d0c894914037f8523bff0a4cf28cec5e21019d77680a08a5b

Aliases

arxiv: 1509.05621 · arxiv_version: 1509.05621v1 · doi: 10.48550/arxiv.1509.05621 · pith_short_12: RKR6GLIWLBOZ · pith_short_16: RKR6GLIWLBOZ2DEJ · pith_short_8: RKR6GLIW

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/RKR6GLIWLBOZ2DEJJEKAG74FEO \
  | 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: 8aa3e32d16585d9d0c894914037f8523bff0a4cf28cec5e21019d77680a08a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36bdfac7198dd4bb5ca4067599ff271de4d4d18e6d298fc5fb8f66e91c53199a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-18T13:30:17Z",
    "title_canon_sha256": "76bb039b1dba33a23fe12e08a125d70180777549100ec5de25569466ac97b03a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05621",
    "kind": "arxiv",
    "version": 1
  }
}