Pith Number

pith:WLSIMUTR

pith:2015:WLSIMUTRESGJUAMBGVOQYJS66W

not attested not anchored not stored refs pending

Equivalence of the Brownian and energy representations

A. M. Vershik, Bruce K. Driver, Maria Gordina, Sergio Albeverio

arxiv:1511.07378 v1 · 2015-11-23 · math.PR · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLSIMUTRESGJUAMBGVOQYJS66W}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:26:11.516232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e4865271248c9a0181355d0c265ef5b93dd125baf52a99d53f8703a6ed5b3f

Aliases

arxiv: 1511.07378 · arxiv_version: 1511.07378v1 · doi: 10.48550/arxiv.1511.07378 · pith_short_12: WLSIMUTRESGJ · pith_short_16: WLSIMUTRESGJUAMB · pith_short_8: WLSIMUTR

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/WLSIMUTRESGJUAMBGVOQYJS66W \
  | 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: b2e4865271248c9a0181355d0c265ef5b93dd125baf52a99d53f8703a6ed5b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56132aac3d0ceae66abbde5d2054171858701d770d9615609baebf1b93b587b3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-23T19:35:41Z",
    "title_canon_sha256": "d7ff6d325134b86ad1fabcce6c475fb712e137172847a415c8456c6381819986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07378",
    "kind": "arxiv",
    "version": 1
  }
}