Pith Number

pith:AB55FW4P

pith:1999:AB55FW4PJSTXOUBEZONZACTJDC

not attested not anchored not stored refs pending

Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan Schwinger map

C. Daskaloyannis, I. Tsohantjis, K. Kanakoglou

arxiv:math-ph/9902005 v2 · 1999-02-03 · math-ph · math.MP · math.QA · 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{AB55FW4PJSTXOUBEZONZACTJDC}

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	2026-05-18T01:38:30.634709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

007bd2db8f4ca7775024cb9b900a6918910fc9f658980bbd55866cd95c3b2dd9

Aliases

arxiv: math-ph/9902005 · arxiv_version: math-ph/9902005v2 · doi: 10.48550/arxiv.math-ph/9902005 · pith_short_12: AB55FW4PJSTX · pith_short_16: AB55FW4PJSTXOUBE · pith_short_8: AB55FW4P

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/AB55FW4PJSTXOUBEZONZACTJDC \
  | 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: 007bd2db8f4ca7775024cb9b900a6918910fc9f658980bbd55866cd95c3b2dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a85ac956a0f19ff519d9c7f9c7d499bb54798e3f6b1bce950ae246bb534de822",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-02-03T16:38:52Z",
    "title_canon_sha256": "5eba90d5fc64c5c480bba640d9076d5fba05e7c9aa32c47a09d026e345b1a06c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9902005",
    "kind": "arxiv",
    "version": 2
  }
}