Pith Number

pith:5AC5J4L5

pith:2014:5AC5J4L5NH5CXXSXG5WDTGWTID

not attested not anchored not stored refs pending

Free energies and fluctuations for the Unitary Brownian Motion

Antoine Dahlqvist

arxiv:1409.7793 v2 · 2014-09-27 · math.PR · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AC5J4L5NH5CXXSXG5WDTGWTID}

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	2026-05-18T01:01:52.529098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e805d4f17d69fa2bde57376c399ad340def59543677dd63e480017f201b68497

Aliases

arxiv: 1409.7793 · arxiv_version: 1409.7793v2 · doi: 10.48550/arxiv.1409.7793 · pith_short_12: 5AC5J4L5NH5C · pith_short_16: 5AC5J4L5NH5CXXSX · pith_short_8: 5AC5J4L5

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/5AC5J4L5NH5CXXSXG5WDTGWTID \
  | 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: e805d4f17d69fa2bde57376c399ad340def59543677dd63e480017f201b68497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f76a11e890639c44a5747671db83f710171c3b09d5de2b59a885ee0a704e9bf3",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-27T10:54:08Z",
    "title_canon_sha256": "427efec151bc2aaafd0c0ff684e768a2a9092ee1c0aadc10d32984b6df1fbe26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7793",
    "kind": "arxiv",
    "version": 2
  }
}