pith. sign in
Pith Number

pith:X4AQGHD3

pith:2012:X4AQGHD3IFCBQJDYPQSFZGUDYL
not attested not anchored not stored refs pending

Action with Acceleration I: Euclidean Hamiltonian and Path Integral

Belal E. Baaquie

arxiv:1211.7168 v1 · 2012-11-30 · quant-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X4AQGHD3IFCBQJDYPQSFZGUDYL}

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 2026-05-18T01:52:52.976539Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bf01031c7b41441824787c245c9a83c2f9c82bc2e0276b98794a1d2d7f1a49c1

Aliases

arxiv: 1211.7168 · arxiv_version: 1211.7168v1 · doi: 10.48550/arxiv.1211.7168 · pith_short_12: X4AQGHD3IFCB · pith_short_16: X4AQGHD3IFCBQJDY · pith_short_8: X4AQGHD3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X4AQGHD3IFCBQJDYPQSFZGUDYL \
  | 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: bf01031c7b41441824787c245c9a83c2f9c82bc2e0276b98794a1d2d7f1a49c1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d8953897d5731c5c1292deb34c822fe7c5e04932fd50c3381cc697bea654e2bb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-30T07:18:48Z",
    "title_canon_sha256": "189bf955c35be05c009338efb741d235d31bacfd8107ebe7e6da0e557ffaa2c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7168",
    "kind": "arxiv",
    "version": 1
  }
}