Pith Number

pith:UXGLIJE7

pith:2018:UXGLIJE7WDWPH7JSXHSZDRTU6S

not attested not anchored not stored refs pending

Chromatic numbers of directed hypergraphs with no "bad" cycles

Zarathustra Brady

arxiv:1806.00783 v1 · 2018-06-03 · math.CO · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXGLIJE7WDWPH7JSXHSZDRTU6S}

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	2026-05-18T00:14:18.442527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5ccb4249fb0ecf3fd32b9e591c674f4bcc41eeda0569db836276432900f9a13

Aliases

arxiv: 1806.00783 · arxiv_version: 1806.00783v1 · doi: 10.48550/arxiv.1806.00783 · pith_short_12: UXGLIJE7WDWP · pith_short_16: UXGLIJE7WDWPH7JS · pith_short_8: UXGLIJE7

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/UXGLIJE7WDWPH7JSXHSZDRTU6S \
  | 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: a5ccb4249fb0ecf3fd32b9e591c674f4bcc41eeda0569db836276432900f9a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc2674f80074e1a66caeb99f88e21251a61ec8e948fc466cb6846571c761154f",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-03T12:47:34Z",
    "title_canon_sha256": "d4c2bc49e38f268f606f4d9318e054ee28a150a5d0949c421e41ce6c5538ef36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00783",
    "kind": "arxiv",
    "version": 1
  }
}