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Pith Number

pith:EXOSFSWD

pith:2013:EXOSFSWD24TKSA3P2QE23KGM5F
not attested not anchored not stored refs pending

Relations between the local chromatic number and its directed version

Ambrus Zsb\'an, G\'abor Simonyi, G\'abor Tardos

arxiv:1305.7473 v1 · 2013-05-31 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EXOSFSWD24TKSA3P2QE23KGM5F}

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 2026-05-18T03:22:06.826373Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

25dd22cac3d726a9036fd409ada8cce94dc568f547f287abf69ddd95ab20c52a

Aliases

arxiv: 1305.7473 · arxiv_version: 1305.7473v1 · doi: 10.48550/arxiv.1305.7473 · pith_short_12: EXOSFSWD24TK · pith_short_16: EXOSFSWD24TKSA3P · pith_short_8: EXOSFSWD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EXOSFSWD24TKSA3P2QE23KGM5F \
  | 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: 25dd22cac3d726a9036fd409ada8cce94dc568f547f287abf69ddd95ab20c52a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "073477f5522ea0fd361d74f93498fb8196b782e6baf721e2be812a65723e38c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-31T16:16:13Z",
    "title_canon_sha256": "84dccd4104286bccd09eca40e503ea2f7d878c35f3c3882f607d97d7de475048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7473",
    "kind": "arxiv",
    "version": 1
  }
}