Pith Number

pith:43U7AHV7

pith:2010:43U7AHV7T7HOY2HJIJQAYEA66G

not attested not anchored not stored refs pending

Monotonicity of quantum ground state energies: Bosonic atoms and stars

Michael K.-H. Kiessling

arxiv:1001.4280 v1 · 2010-01-24 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43U7AHV7T7HOY2HJIJQAYEA66G}

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	2026-05-18T04:17:04.632251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6e9f01ebf9fceec68e942600c101ef1a864e3ceada9cc854a145249ed0c7286

Aliases

arxiv: 1001.4280 · arxiv_version: 1001.4280v1 · doi: 10.48550/arxiv.1001.4280 · pith_short_12: 43U7AHV7T7HO · pith_short_16: 43U7AHV7T7HOY2HJ · pith_short_8: 43U7AHV7

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/43U7AHV7T7HOY2HJIJQAYEA66G \
  | 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: e6e9f01ebf9fceec68e942600c101ef1a864e3ceada9cc854a145249ed0c7286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "352cceb47d6730a7dacda436a2da17a510e1ead9bb91392a6cb866c10a9eb551",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-01-24T20:50:34Z",
    "title_canon_sha256": "0f2487cb2bb55aa9b9c150bdd6b176214134e1a94759c777a0aece495490e4e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4280",
    "kind": "arxiv",
    "version": 1
  }
}