Pith Number

pith:QFLCXRVD

pith:1997:QFLCXRVDRIBWLBCTSDY4VPW32U

not attested not anchored not stored refs pending

Metric Entropy of Homogeneous Spaces

Stanislaw J. Szarek

arxiv:math/9701213 v1 · 1997-01-28 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFLCXRVDRIBWLBCTSDY4VPW32U}

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

3 papers in Pith

Random Stinespring superchannel: converting channel queries into dilation isometry queries

Tripartite Haar random state has no bipartite entanglement

Pointwise Generalization in Deep Neural Networks

Receipt and verification

First computed	2026-07-04T15:51:30.529390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81562bc6a38a0365845390f1cabedbd500283d4c2dfe4f3aaad5c87d60904005

Aliases

arxiv: math/9701213 · arxiv_version: math/9701213v1 · doi: 10.48550/arxiv.math/9701213 · pith_short_12: QFLCXRVDRIBW · pith_short_16: QFLCXRVDRIBWLBCT · pith_short_8: QFLCXRVD

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/QFLCXRVDRIBWLBCTSDY4VPW32U \
  | 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: 81562bc6a38a0365845390f1cabedbd500283d4c2dfe4f3aaad5c87d60904005

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9d0fe7a6eb28275700c15abaa3413e566950cdaca55c463a31ce78242de73a4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "1997-01-28T00:00:00Z",
    "title_canon_sha256": "91f03b77256ecb2ebb7c544b5ea8f609988011f7b91cc412c0016f7764fd32ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9701213",
    "kind": "arxiv",
    "version": 1
  }
}