pith. sign in
Pith Number

pith:UYJKXUVH

pith:2017:UYJKXUVHEN6KQTFEWWWVHVPSMR
not attested not anchored not stored refs pending

A definitive improvement of a game-theoretic bound and the long tightness game

Angelo Bella, Leandro F. Aurichi

arxiv:1711.03217 v2 · 2017-11-09 · math.GN

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UYJKXUVHEN6KQTFEWWWVHVPSMR}

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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 2026-05-18T00:29:18.054642Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a612abd2a7237ca84ca4b5ad53d5f2644d8c5f5b65e77286d101ab8d185de1f9

Aliases

arxiv: 1711.03217 · arxiv_version: 1711.03217v2 · doi: 10.48550/arxiv.1711.03217 · pith_short_12: UYJKXUVHEN6K · pith_short_16: UYJKXUVHEN6KQTFE · pith_short_8: UYJKXUVH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UYJKXUVHEN6KQTFEWWWVHVPSMR \
  | 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: a612abd2a7237ca84ca4b5ad53d5f2644d8c5f5b65e77286d101ab8d185de1f9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "89aa3dec0fd8e85342d62f327505f750c89110e9a9d2d5c627b213f10f27438f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-11-09T00:23:29Z",
    "title_canon_sha256": "646550b453133be95e86f7a8b7e2b5c7dbc6ba4f43aaa31666b037e3669c57ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03217",
    "kind": "arxiv",
    "version": 2
  }
}