Pith Number

pith:ECEFT5NV

pith:2018:ECEFT5NVENB3FU5S3I7DTXGJKZ

not attested not anchored not stored refs pending

Quasi-Fine-Grained Uncertainty Relations

Barry C. Sanders, Qiongyi He, Yunlong Xiao, Yu Xiang

arxiv:1807.07829 v3 · 2018-07-20 · 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{ECEFT5NVENB3FU5S3I7DTXGJKZ}

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.

Cited by

1 paper in Pith

The Complementary Information Principle of Quantum Mechanics

Receipt and verification

First computed	2026-07-05T01:28:27.780296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

208859f5b52343b2d3b2da3e39dcc95642be1e0c77480ebc332b64368858a171

Aliases

arxiv: 1807.07829 · arxiv_version: 1807.07829v3 · doi: 10.48550/arxiv.1807.07829 · pith_short_12: ECEFT5NVENB3 · pith_short_16: ECEFT5NVENB3FU5S · pith_short_8: ECEFT5NV

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/ECEFT5NVENB3FU5S3I7DTXGJKZ \
  | 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: 208859f5b52343b2d3b2da3e39dcc95642be1e0c77480ebc332b64368858a171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dabf33569dcc0008db1d744906a5de3ba93c9e458c7273234d258e5eff4842f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-07-20T13:24:15Z",
    "title_canon_sha256": "efaef287e66b2b2fdc22436157a51659019001231541be5ded391f97333d52b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07829",
    "kind": "arxiv",
    "version": 3
  }
}