Pith Number

pith:GGU72EOQ

pith:2012:GGU72EOQHU5TDWIDRIIOXBUB6Y

not attested not anchored not stored refs pending

A quantitative Balian-Low theorem

Jan-Fredrik Olsen, Shahaf Nitzan

arxiv:1205.0163 v1 · 2012-05-01 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGU72EOQHU5TDWIDRIIOXBUB6Y}

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	2026-05-18T03:56:35.724019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a9fd11d03d3b31d9038a10eb8681f62f2ad016ffba2a0530a4fd1944f13192

Aliases

arxiv: 1205.0163 · arxiv_version: 1205.0163v1 · doi: 10.48550/arxiv.1205.0163 · pith_short_12: GGU72EOQHU5T · pith_short_16: GGU72EOQHU5TDWID · pith_short_8: GGU72EOQ

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/GGU72EOQHU5TDWIDRIIOXBUB6Y \
  | 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: 31a9fd11d03d3b31d9038a10eb8681f62f2ad016ffba2a0530a4fd1944f13192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c422212ee4fea540312358deaa35045feb6e72ea40e775731473668d1645b9dc",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-01T14:12:05Z",
    "title_canon_sha256": "b409bdc1fa54003e956a9d185219cb87071f2250a1a870460c71d0e8b7382bcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0163",
    "kind": "arxiv",
    "version": 1
  }
}