Pith Number

pith:6PVSCBA4

pith:2015:6PVSCBA46FFFM3HJXFNAZNLJI4

not attested not anchored not stored refs pending

Higher-order Variational Calculus on Lie algebroids

Eduardo Mart\'inez

arxiv:1501.06520 v1 · 2015-01-26 · math-ph · math.DS · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PVSCBA46FFFM3HJXFNAZNLJI4}

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	2026-05-18T02:28:41.134505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3eb21041cf14a566ce9b95a0cb569471bd9a898520f960a5354c0003cc71159

Aliases

arxiv: 1501.06520 · arxiv_version: 1501.06520v1 · doi: 10.48550/arxiv.1501.06520 · pith_short_12: 6PVSCBA46FFF · pith_short_16: 6PVSCBA46FFFM3HJ · pith_short_8: 6PVSCBA4

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/6PVSCBA46FFFM3HJXFNAZNLJI4 \
  | 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: f3eb21041cf14a566ce9b95a0cb569471bd9a898520f960a5354c0003cc71159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40130932cd18845610716f1bbf29e7599751b31035ed55c668780867bdaa2c05",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-01-26T18:48:31Z",
    "title_canon_sha256": "9402544eec3147be00faa70d5f0f987567efb4765da5199e29f8f94d35e39e9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06520",
    "kind": "arxiv",
    "version": 1
  }
}