Pith Number

pith:GF5R7SWH

pith:2006:GF5R7SWHMGATLAZ5CY5W7WECKZ

not attested not anchored not stored refs pending

Detecting Hidden Differences via Permutation Symmetries

A. M. Steinberg, M. W. Mitchell, P. S. Turner, R. B. A. Adamson

arxiv:quant-ph/0612081 v5 · 2006-12-11 · 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{GF5R7SWHMGATLAZ5CY5W7WECKZ}

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	2026-05-18T03:24:19.212470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

317b1fcac7618135833d163b6fd882566175cde3540bca376d5c9fb7c8d3a51f

Aliases

arxiv: quant-ph/0612081 · arxiv_version: quant-ph/0612081v5 · doi: 10.48550/arxiv.quant-ph/0612081 · pith_short_12: GF5R7SWHMGAT · pith_short_16: GF5R7SWHMGATLAZ5 · pith_short_8: GF5R7SWH

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/GF5R7SWHMGATLAZ5CY5W7WECKZ \
  | 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: 317b1fcac7618135833d163b6fd882566175cde3540bca376d5c9fb7c8d3a51f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb8658faa994f09bf9e5b30bb4fbaea5f056460a45f3346190551ffb612286b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-12-11T21:20:12Z",
    "title_canon_sha256": "e5c12fda396b1cfc32c9299f41111e8d99c23d933f9960852ba5d48ef2a15182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0612081",
    "kind": "arxiv",
    "version": 5
  }
}