Pith Number

pith:U2KHMZAH

pith:2019:U2KHMZAH6QLYY6YQWVUX4OCTFM

not attested not anchored not stored refs pending

A coupling of the spectral measures at a vertex

Paul Rochet (LMJL), Thibault Espinasse (ICJ)

arxiv:1904.10720 v1 · 2019-04-24 · math.CO · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2KHMZAH6QLYY6YQWVUX4OCTFM}

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	2026-05-17T23:47:50.195222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a694766407f4178c7b10b5697e38532b02eed8bf9cc5f44c98402a5e4199d3bb

Aliases

arxiv: 1904.10720 · arxiv_version: 1904.10720v1 · doi: 10.48550/arxiv.1904.10720 · pith_short_12: U2KHMZAH6QLY · pith_short_16: U2KHMZAH6QLYY6YQ · pith_short_8: U2KHMZAH

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/U2KHMZAH6QLYY6YQWVUX4OCTFM \
  | 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: a694766407f4178c7b10b5697e38532b02eed8bf9cc5f44c98402a5e4199d3bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4886e0efb30a8feb9d40b0f98fd40b084e97b161056297370b3cd3c2fe0239bd",
    "cross_cats_sorted": [
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-24T09:50:40Z",
    "title_canon_sha256": "82c0d1f501e2518e6c5be5ee1a593da96cc7016054628e724b2dbe77ac91fd3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10720",
    "kind": "arxiv",
    "version": 1
  }
}