Pith Number

pith:63SN6AA3

pith:2017:63SN6AA3J2PBFYJJUC46PJL6S2

not attested not anchored not stored refs pending

Quantum Sphere-Packing Bounds with Polynomial Prefactors

Hao-Chung Cheng, Marco Tomamichel, Min-Hsiu Hsieh

arxiv:1704.05703 v2 · 2017-04-19 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63SN6AA3J2PBFYJJUC46PJL6S2}

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	2026-05-17T23:47:12.874696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e4df001b4e9e12e129a0b9e7a57e969077af894861a4a9800f62975824933f

Aliases

arxiv: 1704.05703 · arxiv_version: 1704.05703v2 · doi: 10.48550/arxiv.1704.05703 · pith_short_12: 63SN6AA3J2PB · pith_short_16: 63SN6AA3J2PBFYJJ · pith_short_8: 63SN6AA3

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/63SN6AA3J2PBFYJJUC46PJL6S2 \
  | 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: f6e4df001b4e9e12e129a0b9e7a57e969077af894861a4a9800f62975824933f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a58900bbdd10fed4d94bd9f4acbcc7282d65ecd5dd3a27dbae240e1fe992df5",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-04-19T11:50:25Z",
    "title_canon_sha256": "6f72aacbdba5d3dfab5bb4a3ca4e703950a6aa38f98f8f988650d20464fee322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05703",
    "kind": "arxiv",
    "version": 2
  }
}