Pith Number

pith:X7RFX6DB

pith:2016:X7RFX6DBOGABNNGYJBONKVLDKL

not attested not anchored not stored refs pending

Capacity Estimates via comparison with TRO channels

Li Gao, Marius Junge, Nicholas LaRacuente

arxiv:1609.08594 v2 · 2016-09-27 · quant-ph · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7RFX6DBOGABNNGYJBONKVLDKL}

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	2026-07-05T00:16:48.952139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe25bf861718016b4d8485cd5556352dfea9ae6ea77061f134709d15b3b415a

Aliases

arxiv: 1609.08594 · arxiv_version: 1609.08594v2 · doi: 10.48550/arxiv.1609.08594 · pith_short_12: X7RFX6DBOGAB · pith_short_16: X7RFX6DBOGABNNGY · pith_short_8: X7RFX6DB

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/X7RFX6DBOGABNNGYJBONKVLDKL \
  | 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: bfe25bf861718016b4d8485cd5556352dfea9ae6ea77061f134709d15b3b415a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1457a53b428a663241ff802f573cdc090a24980acdf41f85b8d4531e68fcd6c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-27T19:44:06Z",
    "title_canon_sha256": "760c8a650b221cfabe907ed85ba1a2f5873d5d433a8039ca88273e565f8ff267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08594",
    "kind": "arxiv",
    "version": 2
  }
}