Pith Number

pith:4K5I2SRN

pith:2024:4K5I2SRNNMSG7RR4OKJE4UWTCB

not attested not anchored not stored refs pending

Superposition of plane waves in high spatial dimensions: from landscape complexity to the deepest minimum value

Bertrand Lacroix-A-Chez-Toine, Yan V. Fyodorov

arxiv:2411.09687 v1 · 2024-11-14 · cond-mat.dis-nn · cond-mat.stat-mech · 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{4K5I2SRNNMSG7RR4OKJE4UWTCB}

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	2026-07-05T09:35:30.825646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ba8d4a2d6b246fc63c72924e52d31055815cbadf97f42943591220dd18f771

Aliases

arxiv: 2411.09687 · arxiv_version: 2411.09687v1 · doi: 10.48550/arxiv.2411.09687 · pith_short_12: 4K5I2SRNNMSG · pith_short_16: 4K5I2SRNNMSG7RR4 · pith_short_8: 4K5I2SRN

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/4K5I2SRNNMSG7RR4OKJE4UWTCB \
  | 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: e2ba8d4a2d6b246fc63c72924e52d31055815cbadf97f42943591220dd18f771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2040a2c4f9447a354d85fb5ca4cc7ae9a9ea060ab19eeb6d0c20b98db487c19d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2024-11-14T18:54:04Z",
    "title_canon_sha256": "d5f814a65c1e9227713de970bc05789e3c4ffea2c9da8923eded634652f7e972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09687",
    "kind": "arxiv",
    "version": 1
  }
}