Pith Number

pith:DN2WI3P4

pith:2024:DN2WI3P4NCAERCVTDYPJJOU4GV

not attested not anchored not stored refs pending

Ground state energy is not always convex in the number of electrons

Luca Nenna, Mathieu Lewin, Simone Di Marino

arxiv:2409.08632 v3 · 2024-09-13 · math-ph · math.MP · math.SP · physics.chem-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{DN2WI3P4NCAERCVTDYPJJOU4GV}

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	2026-07-05T09:41:01.981715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b75646dfc6880488ab31e1e94ba9c35792e7d8e0521bd35dbc73a20e855238e

Aliases

arxiv: 2409.08632 · arxiv_version: 2409.08632v3 · doi: 10.48550/arxiv.2409.08632 · pith_short_12: DN2WI3P4NCAE · pith_short_16: DN2WI3P4NCAERCVT · pith_short_8: DN2WI3P4

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/DN2WI3P4NCAERCVTDYPJJOU4GV \
  | 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: 1b75646dfc6880488ab31e1e94ba9c35792e7d8e0521bd35dbc73a20e855238e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a43ff5eb31082db49bbe0a3b073005f7425ce2024d130ade60067a33b9eded3",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-09-13T08:36:48Z",
    "title_canon_sha256": "2349ae5962cd7618ddeaf9c0237974bddc399e06fefa4b53468caca56f574c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.08632",
    "kind": "arxiv",
    "version": 3
  }
}