Pith Number

pith:5QVG73TG

pith:2011:5QVG73TGQBSRFX4HVZRUCYDIKV

not attested not anchored not stored refs pending

Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type

G. Prince, O. Krupkova, T. Mestdag, W. Sarlet

arxiv:1112.0162 v1 · 2011-12-01 · math-ph · math.DS · 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{5QVG73TGQBSRFX4HVZRUCYDIKV}

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	2026-05-18T03:59:36.447109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec2a6fee66806512df87ae63416068557c67af25738f6d9ad40f2a564d824152

Aliases

arxiv: 1112.0162 · arxiv_version: 1112.0162v1 · doi: 10.48550/arxiv.1112.0162 · pith_short_12: 5QVG73TGQBSR · pith_short_16: 5QVG73TGQBSRFX4H · pith_short_8: 5QVG73TG

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/5QVG73TGQBSRFX4HVZRUCYDIKV \
  | 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: ec2a6fee66806512df87ae63416068557c67af25738f6d9ad40f2a564d824152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47ab67a1d1f460bcb17aef0c794ce1ce388e5985585b683157150f34546f4124",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-01T12:42:19Z",
    "title_canon_sha256": "a5ac828ebbd55599300ce16b134a16994ec96ed37355431ab4cd90a27e7398b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0162",
    "kind": "arxiv",
    "version": 1
  }
}