Pith Number

pith:PIZPQPJ3

pith:2010:PIZPQPJ3J7IYVH33D4SWRVVA7E

not attested not anchored not stored refs pending

Strong solutions of Tsirelson's equation in discrete time taking values in compact spaces with semigroup action

Kouji Yano, Takao Hirayama

arxiv:1005.0038 v2 · 2010-05-01 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIZPQPJ3J7IYVH33D4SWRVVA7E}

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	2026-05-18T02:24:09.653684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a32f83d3b4fd18a9f7b1f2568d6a0f91061083a2204aebe79f4cfdd0964ab8c

Aliases

arxiv: 1005.0038 · arxiv_version: 1005.0038v2 · doi: 10.48550/arxiv.1005.0038 · pith_short_12: PIZPQPJ3J7IY · pith_short_16: PIZPQPJ3J7IYVH33 · pith_short_8: PIZPQPJ3

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/PIZPQPJ3J7IYVH33D4SWRVVA7E \
  | 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: 7a32f83d3b4fd18a9f7b1f2568d6a0f91061083a2204aebe79f4cfdd0964ab8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b2c056ff74b53c650744d2bab991c04463fcb95ddbc804ea653332a4ae6820a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-01T01:48:20Z",
    "title_canon_sha256": "223f9016a6a9ce5e18d44ebb2751afa40246a4b8593b89c5c6209c945859a317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0038",
    "kind": "arxiv",
    "version": 2
  }
}