Pith Number

pith:5GK2EPQI

pith:2015:5GK2EPQIN3BXXN74EEAIOCYPKL

not attested not anchored not stored refs pending

A random Schr\"odinger operator associated with the Vertex Reinforced Jump Process on infinite graphs

Christophe Sabot, Xiaolin Zeng

arxiv:1507.07944 v4 · 2015-07-28 · math.PR · math-ph · 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{5GK2EPQIN3BXXN74EEAIOCYPKL}

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	2026-05-18T00:10:24.757616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e995a23e086ec37bb7fc2100870b0f52ee08b18cde1f31089d81346f4104a6da

Aliases

arxiv: 1507.07944 · arxiv_version: 1507.07944v4 · doi: 10.48550/arxiv.1507.07944 · pith_short_12: 5GK2EPQIN3BX · pith_short_16: 5GK2EPQIN3BXXN74 · pith_short_8: 5GK2EPQI

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/5GK2EPQIN3BXXN74EEAIOCYPKL \
  | 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: e995a23e086ec37bb7fc2100870b0f52ee08b18cde1f31089d81346f4104a6da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1679c96fb4804cf0ecc7b22558b467ccc1da7822e36e93b00dc533446553c3f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-28T20:10:35Z",
    "title_canon_sha256": "b65f6990bf9553dee6bb6fe983f240de5d4bce3d24f1fd5ad8c339cf2892345e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07944",
    "kind": "arxiv",
    "version": 4
  }
}