Pith Number

pith:7T4A4TAA

pith:2007:7T4A4TAAF4AZIML3N2H7RV3FXP

not attested not anchored not stored refs pending

Quantum and semiclassical phase functions for the quantization of symmetric oscillators

A. Matzkin, M. Lombardi

arxiv:0706.2978 v1 · 2007-06-20 · quant-ph · 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{7T4A4TAAF4AZIML3N2H7RV3FXP}

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	2026-05-18T04:09:16.144413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcf80e4c002f0194317b6e8ff8d765bbca576b250ffad0050759dc777bd49c9e

Aliases

arxiv: 0706.2978 · arxiv_version: 0706.2978v1 · doi: 10.48550/arxiv.0706.2978 · pith_short_12: 7T4A4TAAF4AZ · pith_short_16: 7T4A4TAAF4AZIML3 · pith_short_8: 7T4A4TAA

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/7T4A4TAAF4AZIML3N2H7RV3FXP \
  | 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: fcf80e4c002f0194317b6e8ff8d765bbca576b250ffad0050759dc777bd49c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b29d760f2c1f7e79a6be1ccbb208202d4bf943d20580311b204f8e1e911b5285",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-06-20T12:19:28Z",
    "title_canon_sha256": "4bcc3432016734844f2e89b9747e8a2eb7889f4521d722ac0575417bd4dd564b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2978",
    "kind": "arxiv",
    "version": 1
  }
}