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Pith Number

pith:RZWI5FPN

pith:2025:RZWI5FPNHJKPA6U2IQ6WUHMUCI
not attested not anchored not stored refs pending

An optimal level of Stubbornness to win a soccer match

Paramahansa Pramanik

arxiv:2501.18050 v1 · 2025-01-29 · math.OC · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RZWI5FPNHJKPA6U2IQ6WUHMUCI}

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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.

Cited by

3 papers in Pith

Receipt and verification
First computed 2026-07-05T10:07:06.292608Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8e6c8e95ed3a54f07a9a443d6a1d9412244bca0c50b4e06128f5748927e8c875

Aliases

arxiv: 2501.18050 · arxiv_version: 2501.18050v1 · doi: 10.48550/arxiv.2501.18050 · pith_short_12: RZWI5FPNHJKP · pith_short_16: RZWI5FPNHJKPA6U2 · pith_short_8: RZWI5FPN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RZWI5FPNHJKPA6U2IQ6WUHMUCI \
  | 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: 8e6c8e95ed3a54f07a9a443d6a1d9412244bca0c50b4e06128f5748927e8c875
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d937d80f91d57604889ded18660b475ef4dc7201c76de5de8dc3ad86b5a0eb7c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-01-29T23:28:10Z",
    "title_canon_sha256": "dc041e4c064c497283b9e6a8f0add4dfdf7bde39a0b68aa18084547be5f2c42e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.18050",
    "kind": "arxiv",
    "version": 1
  }
}