Pith Number

pith:KHJJJEXJ

pith:2011:KHJJJEXJUDXQ3UMPG55SB2E3BY

not attested not anchored not stored refs pending

The Power of Discrete Quantum Theories

Amr Sabry, Andrew J. Hanson, Gerardo Ortiz, Jeremiah Willcock

arxiv:1104.1630 v1 · 2011-04-08 · quant-ph · 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{KHJJJEXJUDXQ3UMPG55SB2E3BY}

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	2026-05-18T02:22:10.268293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d29492e9a0ef0dd18f377b20e89b0e1657ed8854e69ee07dc60cd06f8f9504

Aliases

arxiv: 1104.1630 · arxiv_version: 1104.1630v1 · doi: 10.48550/arxiv.1104.1630 · pith_short_12: KHJJJEXJUDXQ · pith_short_16: KHJJJEXJUDXQ3UMP · pith_short_8: KHJJJEXJ

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/KHJJJEXJUDXQ3UMPG55SB2E3BY \
  | 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: 51d29492e9a0ef0dd18f377b20e89b0e1657ed8854e69ee07dc60cd06f8f9504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c75a23a18c2682487822fc3fef10d83a0da524858cef1121a39dedb32885e28",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-08T19:54:37Z",
    "title_canon_sha256": "0a8fd6d05902bbd260a6dfa8cc23c3ecf8ddf716c01631ff754fa8da8214234a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1630",
    "kind": "arxiv",
    "version": 1
  }
}