Pith Number

pith:6Y2OSCMV

pith:2010:6Y2OSCMVC5CTBI6UZQDXWBT3PB

not attested not anchored not stored refs pending

Higher order infinitesimal freeness

Maxime Fevrier

arxiv:1009.2389 v1 · 2010-09-13 · math.OA · math.CO · 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{6Y2OSCMVC5CTBI6UZQDXWBT3PB}

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	2026-05-18T04:41:04.287726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f634e90995174530a3d4cc077b067b7859baded2ececa2e866659b4d87814527

Aliases

arxiv: 1009.2389 · arxiv_version: 1009.2389v1 · doi: 10.48550/arxiv.1009.2389 · pith_short_12: 6Y2OSCMVC5CT · pith_short_16: 6Y2OSCMVC5CTBI6U · pith_short_8: 6Y2OSCMV

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/6Y2OSCMVC5CTBI6UZQDXWBT3PB \
  | 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: f634e90995174530a3d4cc077b067b7859baded2ececa2e866659b4d87814527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f25cb04fd89aa915d3a173fb13bf9f705d1ff52f025a160709bb84b42bd042e4",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-09-13T13:43:06Z",
    "title_canon_sha256": "bee991a6ef86214dbbb3f323cb0cdc446f6b979a453e07ee2a09722231822ee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2389",
    "kind": "arxiv",
    "version": 1
  }
}