Pith Number

pith:QETQ3M7D

pith:2011:QETQ3M7D66BWTXHSJLQSXXQ7ID

not attested not anchored not stored refs pending

On integrability of quadratic harnesses

Wlodek Bryc

arxiv:1110.1135 v1 · 2011-10-06 · 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{QETQ3M7D66BWTXHSJLQSXXQ7ID}

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	2026-05-18T03:13:32.261338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81270db3e3f78369dcf24ae12bde1f40c82794fd83fd6f69684c01de49155166

Aliases

arxiv: 1110.1135 · arxiv_version: 1110.1135v1 · doi: 10.48550/arxiv.1110.1135 · pith_short_12: QETQ3M7D66BW · pith_short_16: QETQ3M7D66BWTXHS · pith_short_8: QETQ3M7D

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/QETQ3M7D66BWTXHSJLQSXXQ7ID \
  | 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: 81270db3e3f78369dcf24ae12bde1f40c82794fd83fd6f69684c01de49155166

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0d313f6511d0e74752aa669f8188233544c0f7153fd3c6fbe7e6827871ac6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-06T02:22:03Z",
    "title_canon_sha256": "9f07c8f57f424b29315e447a38e9b9e89e77c1723e409f69efffeea8f35161fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1135",
    "kind": "arxiv",
    "version": 1
  }
}