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Pith Number

pith:O5FRTMYE

pith:2013:O5FRTMYEF2J4BTD5OGQMET2JOG
not attested not anchored not stored refs pending

Infinite Tur\'an problems for bipartite graphs

Craig Timmons, Xing Peng

arxiv:1305.6945 v1 · 2013-05-29 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{O5FRTMYEF2J4BTD5OGQMET2JOG}

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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 2026-05-18T03:22:16.808204Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

774b19b3042e93c0cc7d71a0c24f4971927a8647d910952ea9d3928c1190825d

Aliases

arxiv: 1305.6945 · arxiv_version: 1305.6945v1 · doi: 10.48550/arxiv.1305.6945 · pith_short_12: O5FRTMYEF2J4 · pith_short_16: O5FRTMYEF2J4BTD5 · pith_short_8: O5FRTMYE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/O5FRTMYEF2J4BTD5OGQMET2JOG \
  | 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: 774b19b3042e93c0cc7d71a0c24f4971927a8647d910952ea9d3928c1190825d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3f55802f25ac3be9d7e7c1ac71efd8716e97ca80f092b89f15c3b166ad9cbb05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-29T20:42:47Z",
    "title_canon_sha256": "432f9ac3610345998641c8d72141133906426cfd8eafc893af66a95d3d868681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6945",
    "kind": "arxiv",
    "version": 1
  }
}