Pith Number

pith:3B44IHEL

pith:2016:3B44IHELSD5R4V2RQLGVIQHBBR

not attested not anchored not stored refs pending

Upper bound on three tangles of reduced states of four-qubit pure states

N. K. Sharma, S. Shelly Sharma

arxiv:1610.03916 v3 · 2016-10-13 · 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{3B44IHELSD5R4V2RQLGVIQHBBR}

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	2026-05-18T00:43:02.061223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d879c41c8b90fb1e575182cd5440e10c5f3f244ea660df9080be33414d18f0dc

Aliases

arxiv: 1610.03916 · arxiv_version: 1610.03916v3 · doi: 10.48550/arxiv.1610.03916 · pith_short_12: 3B44IHELSD5R · pith_short_16: 3B44IHELSD5R4V2R · pith_short_8: 3B44IHEL

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/3B44IHELSD5R4V2RQLGVIQHBBR \
  | 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: d879c41c8b90fb1e575182cd5440e10c5f3f244ea660df9080be33414d18f0dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "808d56494bc070a78166b42894924edfd0eb43bbb22955e571891485ada59f43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-13T02:25:58Z",
    "title_canon_sha256": "fb76d1f4af518382e662b7b564417e6143b5b4241ece66c3ff124fedafa13b1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03916",
    "kind": "arxiv",
    "version": 3
  }
}