Pith Number

pith:WRLEUOIK

pith:2016:WRLEUOIKPC56P6FMTW6GUNUQWB

not attested not anchored not stored refs pending

An extension of Minkowski's theorem and its applications to questions about projections for measures

Galyna V. Livshyts

arxiv:1607.06531 v4 · 2016-07-22 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRLEUOIKPC56P6FMTW6GUNUQWB}

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	2026-05-18T00:46:20.877016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4564a390a78bbe7f8ac9dbc6a3690b04edeca946ae6e7348a9779c3403b9a57

Aliases

arxiv: 1607.06531 · arxiv_version: 1607.06531v4 · doi: 10.48550/arxiv.1607.06531 · pith_short_12: WRLEUOIKPC56 · pith_short_16: WRLEUOIKPC56P6FM · pith_short_8: WRLEUOIK

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/WRLEUOIKPC56P6FMTW6GUNUQWB \
  | 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: b4564a390a78bbe7f8ac9dbc6a3690b04edeca946ae6e7348a9779c3403b9a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f03857252ba80e95b50cae1f01503c9e5576840fe4318242186a16dc51d43f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-22T00:03:06Z",
    "title_canon_sha256": "5a2870fb3621e4fbdb9b009ec5ef415a273e698f645c20d27ede3d38ccb87724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06531",
    "kind": "arxiv",
    "version": 4
  }
}