Pith Number

pith:PN7EAERW

pith:2026:PN7EAERWAA6YL67DHRSTZAORLH

not attested not anchored not stored refs pending

Dual Variational Principles for Curl Forces

Amit Acharya, Arash Yavari

arxiv:2608.01219 v1 · 2026-08-02 · 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{PN7EAERWAA6YL67DHRSTZAORLH}

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	2026-08-04T02:02:11.627560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b7e401236003d85fbe33c653c81d159c136361b44705ed2698a30ef0f219f5d

Aliases

arxiv: 2608.01219 · arxiv_version: 2608.01219v1 · doi: 10.48550/arxiv.2608.01219 · pith_short_12: PN7EAERWAA6Y · pith_short_16: PN7EAERWAA6YL67D · pith_short_8: PN7EAERW

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/PN7EAERWAA6YL67DHRSTZAORLH \
  | 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: 7b7e401236003d85fbe33c653c81d159c136361b44705ed2698a30ef0f219f5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "980edb86c206ddbbbc3e941dad69260eb5017113c1c5ad52c0cbb9da7813059e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-02T13:04:10Z",
    "title_canon_sha256": "f2420f79d1c2b978c52f325ab2d0292db348866a9deab8c1fe598d10654cf5f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01219",
    "kind": "arxiv",
    "version": 1
  }
}