Pith Number

pith:7I46RGA2

pith:2026:7I46RGA2DUJ4WM6MUIRA6PVNHG

not attested not anchored not stored refs pending

Economised path integrals

David E. Manolopoulos, Zezhu Zeng

arxiv:2607.06414 v1 · 2026-07-07 · physics.chem-ph · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7I46RGA2DUJ4WM6MUIRA6PVNHG}

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	2026-07-08T01:19:24.711713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa39e8981a1d13cb33cca2220f3ead39bda2576ddf86a8e4105ba466f2c47e26

Aliases

arxiv: 2607.06414 · arxiv_version: 2607.06414v1 · doi: 10.48550/arxiv.2607.06414 · pith_short_12: 7I46RGA2DUJ4 · pith_short_16: 7I46RGA2DUJ4WM6M · pith_short_8: 7I46RGA2

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/7I46RGA2DUJ4WM6MUIRA6PVNHG \
  | 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: fa39e8981a1d13cb33cca2220f3ead39bda2576ddf86a8e4105ba466f2c47e26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df8321c4a1fb3301a37734807602c6f42a39deec48e65d2d3e758a2eeda75b12",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2026-07-07T15:45:10Z",
    "title_canon_sha256": "84a9e247c24695663e552afff9a4961f7e68aa4f9657d5fd9577b99f93972aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06414",
    "kind": "arxiv",
    "version": 1
  }
}