Pith Number

pith:4JORZX3O

pith:2013:4JORZX3OBU6XE7LULCNK5OUFLM

not attested not anchored not stored refs pending

Symplectic Semiclassical Wave Packet Dynamics

Melvin Leok, Tomoki Ohsawa

arxiv:1302.1139 v2 · 2013-02-05 · math-ph · math.MP · math.SG · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JORZX3OBU6XE7LULCNK5OUFLM}

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	2026-05-18T03:12:57.734729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e25d1cdf6e0d3d727d74589aaeba855b1d89ba9d6d90c46be7809939e69fac95

Aliases

arxiv: 1302.1139 · arxiv_version: 1302.1139v2 · doi: 10.48550/arxiv.1302.1139 · pith_short_12: 4JORZX3OBU6X · pith_short_16: 4JORZX3OBU6XE7LU · pith_short_8: 4JORZX3O

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/4JORZX3OBU6XE7LULCNK5OUFLM \
  | 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: e25d1cdf6e0d3d727d74589aaeba855b1d89ba9d6d90c46be7809939e69fac95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8901858a4b7fc72b10f9d211788e2ab1540797f118daf656ce0b98f22f0a679",
    "cross_cats_sorted": [
      "math.MP",
      "math.SG",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-05T18:08:03Z",
    "title_canon_sha256": "6850f1ce0a11122842a9484b32ea37ea376240eedf7e692c5b992e9f5aade269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1139",
    "kind": "arxiv",
    "version": 2
  }
}