Pith Number

pith:O6B7BGDW

pith:2015:O6B7BGDWWMJ7J45UT5EFX6F43O

not attested not anchored not stored refs pending

Some Bi-Matrix Models for Bi-Free Limit Distributions

Paul Skoufranis

arxiv:1506.01725 v1 · 2015-06-04 · math.OA · math.FA · 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{O6B7BGDWWMJ7J45UT5EFX6F43O}

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	2026-05-17T23:54:37.159488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7783f09876b313f4f3b49f485bf8bcdb9c85d9cf633e424ab210b9c8e2e12651

Aliases

arxiv: 1506.01725 · arxiv_version: 1506.01725v1 · doi: 10.48550/arxiv.1506.01725 · pith_short_12: O6B7BGDWWMJ7 · pith_short_16: O6B7BGDWWMJ7J45U · pith_short_8: O6B7BGDW

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/O6B7BGDWWMJ7J45UT5EFX6F43O \
  | 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: 7783f09876b313f4f3b49f485bf8bcdb9c85d9cf633e424ab210b9c8e2e12651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5183c21503545da2d5cfb644b6179c3e08780104d4b21b982a2bacf5965e7b78",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-06-04T20:07:30Z",
    "title_canon_sha256": "abcd6a4e6cf8fd56ffd78902f228f7dd0dbac30759716b28695e851ddf8bf14d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01725",
    "kind": "arxiv",
    "version": 1
  }
}