Pith Number

pith:R6MXPU5S

pith:2013:R6MXPU5S36EI7PSGQLT3YGVK5C

not attested not anchored not stored refs pending

Uncertainty principle on weighted spheres, balls and simplexes

Yuan Xu

arxiv:1304.6135 v2 · 2013-04-22 · 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{R6MXPU5S36EI7PSGQLT3YGVK5C}

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	2026-05-18T02:39:16.794480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f9977d3b2df888fbe4682e7bc1aaae891abacec62ff743d28025f667382f018

Aliases

arxiv: 1304.6135 · arxiv_version: 1304.6135v2 · doi: 10.48550/arxiv.1304.6135 · pith_short_12: R6MXPU5S36EI · pith_short_16: R6MXPU5S36EI7PSG · pith_short_8: R6MXPU5S

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/R6MXPU5S36EI7PSGQLT3YGVK5C \
  | 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: 8f9977d3b2df888fbe4682e7bc1aaae891abacec62ff743d28025f667382f018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b587d2673c3eb3327c5295aac049ac0cde39137d18f325461b74e1e64011783d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-22T23:26:43Z",
    "title_canon_sha256": "a61c1ccdd9e12eb758f024de09f4abd6cbda52e8ec9c38d525de70acf6316bcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6135",
    "kind": "arxiv",
    "version": 2
  }
}