Pith Number

pith:YPRG4WL2

pith:2001:YPRG4WL2JXLDU644P5XOY5WSS5

not attested not anchored not stored refs pending

Coherent States for Generalized Laguerre Functions

Ahmed Jellal

arxiv:hep-th/0109028 v2 · 2001-09-04 · hep-th · cond-mat · 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{YPRG4WL2JXLDU644P5XOY5WSS5}

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	2026-07-04T16:28:05.640112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e26e597a4dd63a7b9c7f6eec76d2974d9fad75c99817d149d6e121fb51012e

Aliases

arxiv: hep-th/0109028 · arxiv_version: hep-th/0109028v2 · doi: 10.48550/arxiv.hep-th/0109028 · pith_short_12: YPRG4WL2JXLD · pith_short_16: YPRG4WL2JXLDU644 · pith_short_8: YPRG4WL2

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/YPRG4WL2JXLDU644P5XOY5WSS5 \
  | 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: c3e26e597a4dd63a7b9c7f6eec76d2974d9fad75c99817d149d6e121fb51012e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9234952c33df169bcaef1715efff5d9fbce6db60c3852367d347f6d915b487e",
    "cross_cats_sorted": [
      "cond-mat",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-09-04T19:21:26Z",
    "title_canon_sha256": "79a30b8e3ce2024055d167713cd3cffc5927c23495d3e6df14e116433b17d5fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0109028",
    "kind": "arxiv",
    "version": 2
  }
}