Pith Number

pith:22MXFN7G

pith:2001:22MXFN7GRIQ4T23YDUCT7ZGRMD

not attested not anchored not stored refs pending

Quantum Walks on the Hypercube

Alexander Russell, Cristopher Moore

arxiv:quant-ph/0104137 v1 · 2001-04-29 · 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{22MXFN7GRIQ4T23YDUCT7ZGRMD}

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	2026-07-04T14:45:37.808243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d69972b7e68a21c9eb781d053fe4d160e7de41eeb55fe17b163a1db805239df7

Aliases

arxiv: quant-ph/0104137 · arxiv_version: quant-ph/0104137v1 · doi: 10.48550/arxiv.quant-ph/0104137 · pith_short_12: 22MXFN7GRIQ4 · pith_short_16: 22MXFN7GRIQ4T23Y · pith_short_8: 22MXFN7G

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/22MXFN7GRIQ4T23YDUCT7ZGRMD \
  | 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: d69972b7e68a21c9eb781d053fe4d160e7de41eeb55fe17b163a1db805239df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fcb07867011628019fdd5e667801c32a53df611e11b7cf6219f5fea0617043a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-04-29T00:28:03Z",
    "title_canon_sha256": "ef5035de46ac858f6870d7a1a0978eb3c2d983e899f399ff1185518a52826dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0104137",
    "kind": "arxiv",
    "version": 1
  }
}