Pith Number

pith:5JCXXTIL

pith:2021:5JCXXTILCG2LFRQVSG2LHWBZUV

not attested not anchored not stored refs pending

Analytical Bounds for Dynamic Multi-Channel Discrimination

Cillian Harney, Stefano Pirandola

arxiv:2101.10694 v3 · 2021-01-26 · quant-ph · eess.SP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JCXXTILCG2LFRQVSG2LHWBZUV}

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	2026-07-05T03:12:26.527382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea457bcd0b11b4b2c61591b4b3d839a55356c3d6e5bde1d3de3b067f33de2145

Aliases

arxiv: 2101.10694 · arxiv_version: 2101.10694v3 · doi: 10.48550/arxiv.2101.10694 · pith_short_12: 5JCXXTILCG2L · pith_short_16: 5JCXXTILCG2LFRQV · pith_short_8: 5JCXXTIL

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/5JCXXTILCG2LFRQVSG2LHWBZUV \
  | 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: ea457bcd0b11b4b2c61591b4b3d839a55356c3d6e5bde1d3de3b067f33de2145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e41e3596112101983fe5ababc403c327f992436456784a7afbf65bcfbbf4b04",
    "cross_cats_sorted": [
      "eess.SP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-01-26T10:39:26Z",
    "title_canon_sha256": "dc1277059724cd463af474c0e7d5c64bb1b0688787d167b7f6f1af2d27d659bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.10694",
    "kind": "arxiv",
    "version": 3
  }
}