Pith Number

pith:HLQUJYKV

pith:2006:HLQUJYKVTOX7R5KKNTP3WPKLJN

not attested not anchored not stored refs pending

Existence and non existence of a ground state for the massless Nelson model under binding condition

Annalisa Panati

arxiv:math-ph/0609065 v3 · 2006-09-24 · 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{HLQUJYKVTOX7R5KKNTP3WPKLJN}

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	2026-07-04T15:37:46.046672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ae144e1559baff8f54a6cdfbb3d4b4b42f1f30eadc116db0799b431b735550c

Aliases

arxiv: math-ph/0609065 · arxiv_version: math-ph/0609065v3 · doi: 10.48550/arxiv.math-ph/0609065 · pith_short_12: HLQUJYKVTOX7 · pith_short_16: HLQUJYKVTOX7R5KK · pith_short_8: HLQUJYKV

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/HLQUJYKVTOX7R5KKNTP3WPKLJN \
  | 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: 3ae144e1559baff8f54a6cdfbb3d4b4b42f1f30eadc116db0799b431b735550c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59cca7ce766f934fffe6c23dfd39fc6c51760ba9d22037c56c814c53ea4bc9bc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2006-09-24T23:51:22Z",
    "title_canon_sha256": "eb88274866ea9845261ea19cc982296180d0bdfdfcd7953f7b236d52b9ba7edd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0609065",
    "kind": "arxiv",
    "version": 3
  }
}