Pith Number

pith:GHPORMIY

pith:2013:GHPORMIY2DWDCKR6EWLFZGOEL3

not attested not anchored not stored refs pending

Quantum strong subadditivity condition for systems without subsystems

Margarita A Man'ko, Vladimir I Man'ko

arxiv:1312.6988 v1 · 2013-12-25 · 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{GHPORMIY2DWDCKR6EWLFZGOEL3}

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	2026-05-18T01:45:41.756332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31dee8b118d0ec312a3e25965c99c45ee04418cf514e0adb8887fcdb087ab842

Aliases

arxiv: 1312.6988 · arxiv_version: 1312.6988v1 · doi: 10.48550/arxiv.1312.6988 · pith_short_12: GHPORMIY2DWD · pith_short_16: GHPORMIY2DWDCKR6 · pith_short_8: GHPORMIY

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/GHPORMIY2DWDCKR6EWLFZGOEL3 \
  | 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: 31dee8b118d0ec312a3e25965c99c45ee04418cf514e0adb8887fcdb087ab842

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "528cc7eeb34c2d64ff66c44e853b3cd9572bccb9f272fe4fbab1c89db2e248a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-25T17:37:53Z",
    "title_canon_sha256": "9166f4a1b2d2f3494ff1e8aff9fc5866f6e261caad0e18716e9d070bd4e0dba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6988",
    "kind": "arxiv",
    "version": 1
  }
}