Pith Number

pith:XDJVXE6L

pith:2002:XDJVXE6L5J2DM5K62OWWRLTC5H

not attested not anchored not stored refs pending

The Balian--Low theorem for the symplectic form on ${\mathbb R}^{2d}$

Andrei Ya. Maltsev, John J. Benedetto, Wojciech Czaja

arxiv:math/0212186 v1 · 2002-12-13 · 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{XDJVXE6L5J2DM5K62OWWRLTC5H}

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	2026-05-18T01:38:29.270400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d35b93cbea7436755ed3ad68ae62e9e6d7ab331efe135ae5390db14b8ca9e3

Aliases

arxiv: math/0212186 · arxiv_version: math/0212186v1 · doi: 10.48550/arxiv.math/0212186 · pith_short_12: XDJVXE6L5J2D · pith_short_16: XDJVXE6L5J2DM5K6 · pith_short_8: XDJVXE6L

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/XDJVXE6L5J2DM5K62OWWRLTC5H \
  | 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: b8d35b93cbea7436755ed3ad68ae62e9e6d7ab331efe135ae5390db14b8ca9e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b819c869041a5d4ef2134937286669c48eaa81edfed3057ff915f6e8bcb9093",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2002-12-13T12:11:05Z",
    "title_canon_sha256": "eae345673c56bf51b9b3b8e357de060611214b1837af347fe467961dbb832558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212186",
    "kind": "arxiv",
    "version": 1
  }
}