Pith Number

pith:M3HY5A4C

pith:2009:M3HY5A4CEDKDTT557NWDH6WRQN

not attested not anchored not stored refs pending

A Family of Norms With Applications In Quantum Information Theory

David W. Kribs, Nathaniel Johnston

arxiv:0909.3907 v4 · 2009-09-22 · 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{M3HY5A4CEDKDTT557NWDH6WRQN}

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	2026-05-18T04:39:28.870957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66cf8e838220d439cfbdfb6c33fad1837838aa05dcfa9b8b28811e0bad5ce5e5

Aliases

arxiv: 0909.3907 · arxiv_version: 0909.3907v4 · doi: 10.48550/arxiv.0909.3907 · pith_short_12: M3HY5A4CEDKD · pith_short_16: M3HY5A4CEDKDTT55 · pith_short_8: M3HY5A4C

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/M3HY5A4CEDKDTT557NWDH6WRQN \
  | 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: 66cf8e838220d439cfbdfb6c33fad1837838aa05dcfa9b8b28811e0bad5ce5e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4067bd0e4ec9542404d625c697616f35c5ac6e80f8ca3d908a383550e7efb1e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-09-22T19:47:45Z",
    "title_canon_sha256": "35f9451354cecaadb7d029cbfba3dbd8766dfe521d5dc22411e658c4b6ad7abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3907",
    "kind": "arxiv",
    "version": 4
  }
}