Pith Number

pith:TBXLV6KD

pith:2013:TBXLV6KDKGWGABSMMI6BTB5AK5

not attested not anchored not stored refs pending

Freely Independent Random Variables with Non-Atomic Distributions

Dimitri Shlyakhtenko, Paul Skoufranis

arxiv:1305.1920 v1 · 2013-05-08 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBXLV6KDKGWGABSMMI6BTB5AK5}

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	2026-05-18T01:34:13.759081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

986ebaf94351ac60064c623c1987a0576724440d711c88b62e2c3771c1644a13

Aliases

arxiv: 1305.1920 · arxiv_version: 1305.1920v1 · doi: 10.48550/arxiv.1305.1920 · pith_short_12: TBXLV6KDKGWG · pith_short_16: TBXLV6KDKGWGABSM · pith_short_8: TBXLV6KD

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/TBXLV6KDKGWGABSMMI6BTB5AK5 \
  | 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: 986ebaf94351ac60064c623c1987a0576724440d711c88b62e2c3771c1644a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d5046eec544ee4ad4172329995aed8accbcdf2e427ded943b2ccea54b523133",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-05-08T19:30:19Z",
    "title_canon_sha256": "287b0703fd2750b5dbb355518fa5e0d62951170a1ff141645bec60aa59e90cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1920",
    "kind": "arxiv",
    "version": 1
  }
}