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Pith Number

pith:LJ6M3LHK

pith:2014:LJ6M3LHKUTHQ74ADTMRMTJDEOF
not attested not anchored not stored refs pending

Complete solutions of the Hamilton-Jacobi equation and the envelope method

G.F. Torres del Castillo, G.S. Anaya Gonz\'alez

arxiv:1406.5122 v1 · 2014-06-19 · physics.class-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LJ6M3LHKUTHQ74ADTMRMTJDEOF}

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 2026-05-18T02:49:20.894263Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5a7ccdaceaa4cf0ff0039b22c9a464716791b801a8437033ff9393cee2b147e2

Aliases

arxiv: 1406.5122 · arxiv_version: 1406.5122v1 · doi: 10.48550/arxiv.1406.5122 · pith_short_12: LJ6M3LHKUTHQ · pith_short_16: LJ6M3LHKUTHQ74AD · pith_short_8: LJ6M3LHK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LJ6M3LHKUTHQ74ADTMRMTJDEOF \
  | 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: 5a7ccdaceaa4cf0ff0039b22c9a464716791b801a8437033ff9393cee2b147e2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "36753314c0118de1a510b95f8de3c839ad7386556c1bfd9dc2cf448e27a632e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2014-06-19T17:44:02Z",
    "title_canon_sha256": "d06415fa8447ce6305585e09b31ed266fa57a65153acaf8045bf4c2b0dab6f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5122",
    "kind": "arxiv",
    "version": 1
  }
}