Pith Number

pith:HBQAMXIP

pith:2016:HBQAMXIPGQIMFDH5OJWINSR5E3

not attested not anchored not stored refs pending

Uniform Additivity in Classical and Quantum Information

Andrew W. Cross, Graeme Smith, Ke Li

arxiv:1601.05434 v1 · 2016-01-20 · quant-ph · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBQAMXIPGQIMFDH5OJWINSR5E3}

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	2026-05-18T00:51:51.973132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3860065d0f3410c28cfd726c86ca3d26f7e95aff453acb827304d3e8da92a2ab

Aliases

arxiv: 1601.05434 · arxiv_version: 1601.05434v1 · doi: 10.48550/arxiv.1601.05434 · pith_short_12: HBQAMXIPGQIM · pith_short_16: HBQAMXIPGQIMFDH5 · pith_short_8: HBQAMXIP

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/HBQAMXIPGQIMFDH5OJWINSR5E3 \
  | 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: 3860065d0f3410c28cfd726c86ca3d26f7e95aff453acb827304d3e8da92a2ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f286e6aeb87acc24081c98cdaae52bb5b7544331953a3861fcabdc617037b3c3",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-01-20T21:10:04Z",
    "title_canon_sha256": "a60bcdd43fbe3649f883f9372f474824963e04ab3155a73ebada2c6976deb98d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05434",
    "kind": "arxiv",
    "version": 1
  }
}