Pith Number

pith:SNMZCPRL

pith:2021:SNMZCPRLF7BWTBJPJJNWZV5N3E

not attested not anchored not stored refs pending

Scoring a Goal optimally in a Soccer game under Liouville-like quantum gravity action

Alan M. Polansky, Paramahansa Pramanik

arxiv:2108.00845 v1 · 2021-07-25 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNMZCPRLF7BWTBJPJJNWZV5N3E}

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	2026-07-05T03:02:27.465969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9359913e2b2fc369852f4a5b6cd7add92fdb2180324941da399102dfa028391d

Aliases

arxiv: 2108.00845 · arxiv_version: 2108.00845v1 · doi: 10.48550/arxiv.2108.00845 · pith_short_12: SNMZCPRLF7BW · pith_short_16: SNMZCPRLF7BWTBJP · pith_short_8: SNMZCPRL

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/SNMZCPRLF7BWTBJPJJNWZV5N3E \
  | 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: 9359913e2b2fc369852f4a5b6cd7add92fdb2180324941da399102dfa028391d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95352011fb8d6e7469429f1cd3d68ec66377a8a0ec267ebf34450dc0145d55e4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-07-25T17:37:56Z",
    "title_canon_sha256": "919d30678aff06155ba4cff689ea5566e7497bf2e5b5b3e7069ee4496ffbeef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.00845",
    "kind": "arxiv",
    "version": 1
  }
}