Pith Number

pith:OMMFX7KC

pith:2015:OMMFX7KCD35OOGUU3BTLY2HEKS

not attested not anchored not stored refs pending

Open quantum random walks: ergodicity, hitting times, gambler's ruin and potential theory

Carlos F. Lardizabal, Rafael R. Souza

arxiv:1510.03454 v2 · 2015-10-12 · 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{OMMFX7KCD35OOGUU3BTLY2HEKS}

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	2026-05-18T01:09:36.418067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73185bfd421efae71a94d866bc68e45485b6329739a79cf37e093e9b44790edb

Aliases

arxiv: 1510.03454 · arxiv_version: 1510.03454v2 · doi: 10.48550/arxiv.1510.03454 · pith_short_12: OMMFX7KCD35O · pith_short_16: OMMFX7KCD35OOGUU · pith_short_8: OMMFX7KC

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/OMMFX7KCD35OOGUU3BTLY2HEKS \
  | 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: 73185bfd421efae71a94d866bc68e45485b6329739a79cf37e093e9b44790edb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3681a0dcabae6dadf674a56a4723562d3178cc52fdfab27cb3c95b79800de26b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-12T20:34:50Z",
    "title_canon_sha256": "ea8833cf60a0fb8af9b2261ce4930cf289733553007bce4aae691e6ebe375de3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03454",
    "kind": "arxiv",
    "version": 2
  }
}