Pith Number

pith:TPAZV4K4

pith:2012:TPAZV4K47MHOM2THJBPRXCLPMI

not attested not anchored not stored refs pending

The translation Invariant Massive Nelson Model: II. The Continuous Spectrum Below the Two-boson Threshold

Jacob Schach M{\o}ller, Morten Grud Rasmussen

arxiv:1207.6729 v1 · 2012-07-28 · 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{TPAZV4K47MHOM2THJBPRXCLPMI}

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	2026-05-18T03:42:23.644369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc19af15cfb0ee66a67485f1b896f621b6aea66b166574610037b584c452221

Aliases

arxiv: 1207.6729 · arxiv_version: 1207.6729v1 · doi: 10.48550/arxiv.1207.6729 · pith_short_12: TPAZV4K47MHO · pith_short_16: TPAZV4K47MHOM2TH · pith_short_8: TPAZV4K4

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/TPAZV4K47MHOM2THJBPRXCLPMI \
  | 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: 9bc19af15cfb0ee66a67485f1b896f621b6aea66b166574610037b584c452221

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e36170e13678dad9e16423beb6715aa2becf6ed9cfed3b44a4a75200ede48f6c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-28T21:00:24Z",
    "title_canon_sha256": "b16024d5cc321bacb48ba72f6489c4fb44b4f6af78821ff53bcf05726fb1408e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6729",
    "kind": "arxiv",
    "version": 1
  }
}