Pith Number

pith:VZFQIOBM

pith:2015:VZFQIOBMBH4V72HHMSXG2Y2P4H

not attested not anchored not stored refs pending

Poisson Processes in Free Probability

Guimei An, Mingchu Gao

arxiv:1506.03130 v2 · 2015-06-09 · 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{VZFQIOBMBH4V72HHMSXG2Y2P4H}

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	2026-05-18T01:36:06.798269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae4b04382c09f95fe8e764ae6d634fe1e49cae83109f443bc7f3f1630664cd3d

Aliases

arxiv: 1506.03130 · arxiv_version: 1506.03130v2 · doi: 10.48550/arxiv.1506.03130 · pith_short_12: VZFQIOBMBH4V · pith_short_16: VZFQIOBMBH4V72HH · pith_short_8: VZFQIOBM

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/VZFQIOBMBH4V72HHMSXG2Y2P4H \
  | 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: ae4b04382c09f95fe8e764ae6d634fe1e49cae83109f443bc7f3f1630664cd3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccea05e258922d05eff5eeecc82a0fd7035b07a1f9b33c8f0ce4fb492ddb9923",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-06-09T23:09:26Z",
    "title_canon_sha256": "b34e511471cd28e14391e9f71a55edf52f2d738a0c0878a99a08137d1d84c9d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03130",
    "kind": "arxiv",
    "version": 2
  }
}