Pith Number

pith:BHEU5S56

pith:2006:BHEU5S56S3ZI7BF6ZUZSZSDDAX

not attested not anchored not stored refs pending

Uncertainty Principles and Vector Quantization

Roman Vershynin, Yurii Lyubarskii

arxiv:math/0611343 v2 · 2006-11-12 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHEU5S56S3ZI7BF6ZUZSZSDDAX}

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	2026-05-18T00:54:09.246885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c94ecbbe96f28f84becd332cc86305f2d9022bec6161583944638c9e4e6e1b

Aliases

arxiv: math/0611343 · arxiv_version: math/0611343v2 · doi: 10.48550/arxiv.math/0611343 · pith_short_12: BHEU5S56S3ZI · pith_short_16: BHEU5S56S3ZI7BF6 · pith_short_8: BHEU5S56

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/BHEU5S56S3ZI7BF6ZUZSZSDDAX \
  | 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: 09c94ecbbe96f28f84becd332cc86305f2d9022bec6161583944638c9e4e6e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0350a4b4a69ffb0181985f7eca9ad3088147968d27d8fd67794e15eba166c2f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2006-11-12T03:01:31Z",
    "title_canon_sha256": "eb807e6d2ee854d6141cbe8c5508627b929ead656b0e57f4555b2228a3ba020e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611343",
    "kind": "arxiv",
    "version": 2
  }
}