Pith Number

pith:COFCO2QX

pith:2012:COFCO2QXHDA7FOVRS3OJ6U6UED

not attested not anchored not stored refs pending

The principle of stationary action in the calculus of variations

A. Molgado, E. L\'opez, J. A. Vallejo

arxiv:1205.0865 v2 · 2012-05-04 · math-ph · 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{COFCO2QXHDA7FOVRS3OJ6U6UED}

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	2026-05-18T03:30:14.010992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

138a276a1738c1f2bab196dc9f53d420f17a21cfc1788555b7a698fd118007a3

Aliases

arxiv: 1205.0865 · arxiv_version: 1205.0865v2 · doi: 10.48550/arxiv.1205.0865 · pith_short_12: COFCO2QXHDA7 · pith_short_16: COFCO2QXHDA7FOVR · pith_short_8: COFCO2QX

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/COFCO2QXHDA7FOVRS3OJ6U6UED \
  | 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: 138a276a1738c1f2bab196dc9f53d420f17a21cfc1788555b7a698fd118007a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4bf22e8493fb2dd03663db7aaebb1a02bb39cebd4da0737af0a3a710a78d5e8",
    "cross_cats_sorted": [
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-04T06:17:31Z",
    "title_canon_sha256": "12eca3c66becb4f63de74023e3678159fab3b2284897d5e80e7ee52d96e4b662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0865",
    "kind": "arxiv",
    "version": 2
  }
}