Pith Number

pith:GMOKYSGT

pith:2010:GMOKYSGTNB7JZLDMGVVWNSMRQK

not attested not anchored not stored refs pending

Information theoretic treatment of tripartite systems and quantum channels

Li Yu, Patrick J. Coles, Robert B. Griffiths, Vlad Gheorghiu

arxiv:1006.4859 v5 · 2010-06-24 · 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{GMOKYSGTNB7JZLDMGVVWNSMRQK}

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	2026-05-18T03:23:48.334526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

331cac48d3687e9cac6c356b66c99182afbd29502968322d32e3dd4242661bd4

Aliases

arxiv: 1006.4859 · arxiv_version: 1006.4859v5 · doi: 10.48550/arxiv.1006.4859 · pith_short_12: GMOKYSGTNB7J · pith_short_16: GMOKYSGTNB7JZLDM · pith_short_8: GMOKYSGT

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/GMOKYSGTNB7JZLDMGVVWNSMRQK \
  | 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: 331cac48d3687e9cac6c356b66c99182afbd29502968322d32e3dd4242661bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c18653e316150742194d7e2879a7af0132acd48474cbb459c34d73eb043d833c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-06-24T18:36:48Z",
    "title_canon_sha256": "c09728f44af70aa72276f8822f3db5e6c4c51bebf656819f24c03c04edabb8dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4859",
    "kind": "arxiv",
    "version": 5
  }
}