Pith Number

pith:6ZIACP77

pith:2000:6ZIACP777IQPHTVFHNXOJBRMCY

not attested not anchored not stored refs pending

Quantum Walks On Graphs

Andris Ambainis, Dorit Aharonov, Julia Kempe, Umesh Vazirani

arxiv:quant-ph/0012090 v2 · 2000-12-18 · 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{6ZIACP777IQPHTVFHNXOJBRMCY}

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.

Cited by

1 paper in Pith

Response to glassy disorder in coin on spread of quantum walker

Receipt and verification

First computed	2026-05-18T01:05:05.147897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f650013ffffa20f3cea53b6ee4862c162f5c807c35bf1d5f7ce03811c6c68865

Aliases

arxiv: quant-ph/0012090 · arxiv_version: quant-ph/0012090v2 · doi: 10.48550/arxiv.quant-ph/0012090 · pith_short_12: 6ZIACP777IQP · pith_short_16: 6ZIACP777IQPHTVF · pith_short_8: 6ZIACP77

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/6ZIACP777IQPHTVFHNXOJBRMCY \
  | 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: f650013ffffa20f3cea53b6ee4862c162f5c807c35bf1d5f7ce03811c6c68865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "643ad482bed72345e79263bf409432b35b59611ec1c95e91c03d6d1871c4e67a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-12-18T04:20:51Z",
    "title_canon_sha256": "126141789ab238557e23a2e75907efa8b6ccdcbb196b0f33f94fc05000989a7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0012090",
    "kind": "arxiv",
    "version": 2
  }
}