Pith Number

pith:26UIPEC2

pith:2006:26UIPEC2LVAAUJTSZFBUMBDDK4

not attested not anchored not stored refs pending

AV-differential geometry: Euler-Lagrange equations

Janusz Grabowski, Katarzyna Grabowska, Pawe{\l}Urba\'nski

arxiv:math/0604130 v1 · 2006-04-06 · math.DG · 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{26UIPEC2LVAAUJTSZFBUMBDDK4}

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	2026-05-18T04:07:54.454531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7a887905a5d400a2672c943460463571c714fa520151cf77b327a5eea575789

Aliases

arxiv: math/0604130 · arxiv_version: math/0604130v1 · doi: 10.48550/arxiv.math/0604130 · pith_short_12: 26UIPEC2LVAA · pith_short_16: 26UIPEC2LVAAUJTS · pith_short_8: 26UIPEC2

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/26UIPEC2LVAAUJTSZFBUMBDDK4 \
  | 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: d7a887905a5d400a2672c943460463571c714fa520151cf77b327a5eea575789

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a5f2b4660e9c17a264c39217d71db6b286ec4ca68cfd6d2ada31c82585d6d1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-04-06T09:20:36Z",
    "title_canon_sha256": "13ff4f2892e92154ca323a3da46370e9794a59dfadd8328f4634cd6b73a61fe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604130",
    "kind": "arxiv",
    "version": 1
  }
}