Pith Number

pith:UCBMT2WT

pith:2016:UCBMT2WTNKZSWKPIGKFONWK2SH

not attested not anchored not stored refs pending

Open Quantum Random Walks, Quantum Markov Chains and Recurrence

Ameur Dhahri, Farrukh Mukhamedov

arxiv:1608.01065 v2 · 2016-08-03 · math.FA · math-ph · math.MP · math.PR · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCBMT2WTNKZSWKPIGKFONWK2SH}

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	2026-05-18T00:35:35.634392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a082c9ead36ab32b29e8328ae6d95a91eac88d146e14ef4d995e9509aa3db95b

Aliases

arxiv: 1608.01065 · arxiv_version: 1608.01065v2 · doi: 10.48550/arxiv.1608.01065 · pith_short_12: UCBMT2WTNKZS · pith_short_16: UCBMT2WTNKZSWKPI · pith_short_8: UCBMT2WT

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/UCBMT2WTNKZSWKPIGKFONWK2SH \
  | 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: a082c9ead36ab32b29e8328ae6d95a91eac88d146e14ef4d995e9509aa3db95b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e1b9c61f2df0b07fb030355668948cca6aa6d29d91d52030e3ce3ef0d24e5c3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-03T03:37:10Z",
    "title_canon_sha256": "cadd1230c1cd355d2cf9706f028aee2c25b57b240e3c7add2549c0330a197fda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01065",
    "kind": "arxiv",
    "version": 2
  }
}