Pith Number

pith:22YF6DIG

pith:2016:22YF6DIGI2YI55HWSWAH6PIXRS

not attested not anchored not stored refs pending

The First-Order Euler-Lagrange equations and some of their uses

C. Adam, F. Santamaria

arxiv:1609.02154 v1 · 2016-09-07 · hep-th · 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{22YF6DIGI2YI55HWSWAH6PIXRS}

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	2026-05-18T00:51:46.572584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b05f0d0646b08ef4f695807f3d178ca2eb5a7f4c894eb68abfe8f9042a5894

Aliases

arxiv: 1609.02154 · arxiv_version: 1609.02154v1 · doi: 10.48550/arxiv.1609.02154 · pith_short_12: 22YF6DIGI2YI · pith_short_16: 22YF6DIGI2YI55HW · pith_short_8: 22YF6DIG

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/22YF6DIGI2YI55HWSWAH6PIXRS \
  | 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: d6b05f0d0646b08ef4f695807f3d178ca2eb5a7f4c894eb68abfe8f9042a5894

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75f1375cf284dceb2676ec59b4fb794a4f68fde0b9f002391b7d0d995c6165df",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-09-07T20:00:02Z",
    "title_canon_sha256": "66f070e80ae1cf2f9bd04a55ee09fe709fd03b6fbd3388a8742f3b847fe5787f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02154",
    "kind": "arxiv",
    "version": 1
  }
}