Pith Number

pith:VMLUOWWX

pith:2006:VMLUOWWXD56FJWGJAU35K5CJBI

not attested not anchored not stored refs pending

Many Particle Hardy-Inequalities

A. Laptev, J. Tidblom, M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof

arxiv:math/0608299 v1 · 2006-08-12 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMLUOWWXD56FJWGJAU35K5CJBI}

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	2026-05-18T02:57:45.539544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab17475ad71f7c54d8c90537d574490a06ae944dbb71e2590ad9ac9986e16541

Aliases

arxiv: math/0608299 · arxiv_version: math/0608299v1 · doi: 10.48550/arxiv.math/0608299 · pith_short_12: VMLUOWWXD56F · pith_short_16: VMLUOWWXD56FJWGJ · pith_short_8: VMLUOWWX

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/VMLUOWWXD56FJWGJAU35K5CJBI \
  | 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: ab17475ad71f7c54d8c90537d574490a06ae944dbb71e2590ad9ac9986e16541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c186785a67fec02ed408595bfd8d91ce5c079fb3d08aa6ce051936c532dcee9f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-08-12T12:21:37Z",
    "title_canon_sha256": "5888dee83f0b963415721e82790f08dfd0221dbb27da615b625540412dc7ffcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608299",
    "kind": "arxiv",
    "version": 1
  }
}