Pith Number

pith:MTDJKPWH

pith:2016:MTDJKPWHQ3Z2V43TMNEQAHNBD3

not attested not anchored not stored refs pending

Noncommutative Brownian motion

Andre M. C. Souza, Guilherme M. A. Almeida, Willien O. Santos

arxiv:1606.07416 v2 · 2016-06-23 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTDJKPWHQ3Z2V43TMNEQAHNBD3}

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	2026-05-18T00:35:44.240827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c6953ec786f3aaf3736349001da11eebc499c24cbd95e0d7fb81b3a078a532

Aliases

arxiv: 1606.07416 · arxiv_version: 1606.07416v2 · doi: 10.48550/arxiv.1606.07416 · pith_short_12: MTDJKPWHQ3Z2 · pith_short_16: MTDJKPWHQ3Z2V43T · pith_short_8: MTDJKPWH

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/MTDJKPWHQ3Z2V43TMNEQAHNBD3 \
  | 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: 64c6953ec786f3aaf3736349001da11eebc499c24cbd95e0d7fb81b3a078a532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a850a94dca7e7cfb3acdd9ee553c62869f7f3add18771e1929ee02c3c16c0e00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-06-23T19:34:23Z",
    "title_canon_sha256": "a617d59f80a32fd3947a452cdf32f99c32199f038f9c86d15f895bcebe3ad7a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07416",
    "kind": "arxiv",
    "version": 2
  }
}