Pith Number

pith:QNFLKEGV

pith:2019:QNFLKEGVP34OEPSWRGNEU6XZJ2

not attested not anchored not stored refs pending

Topological expansion in isomorphism theorems between matrix-valued fields and random walks

INSMI, LPSM (UMR\_8001)), Titus Lupu (CNRS

arxiv:1908.06732 v3 · 2019-08-19 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNFLKEGVP34OEPSWRGNEU6XZJ2}

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	2026-07-05T04:52:22.037145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

834ab510d57ef8e23e56899a4a7af94eaeac47424d090803d7b635c84b49d1bf

Aliases

arxiv: 1908.06732 · arxiv_version: 1908.06732v3 · doi: 10.48550/arxiv.1908.06732 · pith_short_12: QNFLKEGVP34O · pith_short_16: QNFLKEGVP34OEPSW · pith_short_8: QNFLKEGV

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/QNFLKEGVP34OEPSWRGNEU6XZJ2 \
  | 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: 834ab510d57ef8e23e56899a4a7af94eaeac47424d090803d7b635c84b49d1bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0b39810105f420804e92a2fbc86e0217f3607d51ae64c22c7f2e766233e081",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-19T12:25:07Z",
    "title_canon_sha256": "58c91529ac1cc30d675eb100271350de7740fd5dc912a1a3191d478bcd4fa142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06732",
    "kind": "arxiv",
    "version": 3
  }
}