Pith Number

pith:73ODWGBI

pith:2018:73ODWGBI2HIM4NRQYYCD2PPDXX

not attested not anchored not stored refs pending

Superadditivity of convex roof coherence measures

C. L. Liu, D. M. Tong, Qi-Ming Ding

arxiv:1809.05475 v1 · 2018-09-14 · 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{73ODWGBI2HIM4NRQYYCD2PPDXX}

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	2026-05-18T00:04:47.874354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fedc3b1828d1d0ce3630c6043d3de3bdf2d51a147f6c77f71123876e961fabf0

Aliases

arxiv: 1809.05475 · arxiv_version: 1809.05475v1 · doi: 10.48550/arxiv.1809.05475 · pith_short_12: 73ODWGBI2HIM · pith_short_16: 73ODWGBI2HIM4NRQ · pith_short_8: 73ODWGBI

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/73ODWGBI2HIM4NRQYYCD2PPDXX \
  | 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: fedc3b1828d1d0ce3630c6043d3de3bdf2d51a147f6c77f71123876e961fabf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71756a6262bb80813bd0247da1077d1ea66d3718e5f225d8be173bb2e4d35c91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-09-14T15:45:56Z",
    "title_canon_sha256": "ee068e0e20329a940eca8337226a57d4112e3d95fdbfdf9a71a67bb63a02f06b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05475",
    "kind": "arxiv",
    "version": 1
  }
}