Pith Number

pith:UHV4TMD3

pith:1996:UHV4TMD3XTT3RWFVH6I4WUNNBC

not attested not anchored not stored refs pending

On Bose-Fermi Statistics, Quantum Group Symmetry, and Second Quantization

Gaetano Fiore

arxiv:hep-th/9611144 v1 · 1996-11-19 · hep-th · math.QA · q-alg

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHV4TMD3XTT3RWFVH6I4WUNNBC}

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	2026-05-18T03:44:34.438466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1ebc9b07bbce7b8d8b53f91cb51ad08b85d50fd04b3702866bd204661e323e1

Aliases

arxiv: hep-th/9611144 · arxiv_version: hep-th/9611144v1 · doi: 10.48550/arxiv.hep-th/9611144 · pith_short_12: UHV4TMD3XTT3 · pith_short_16: UHV4TMD3XTT3RWFV · pith_short_8: UHV4TMD3

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/UHV4TMD3XTT3RWFVH6I4WUNNBC \
  | 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: a1ebc9b07bbce7b8d8b53f91cb51ad08b85d50fd04b3702866bd204661e323e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20e50600b13de7d5248affec054bf35556cab2fd73882871d3983bf673cdcbba",
    "cross_cats_sorted": [
      "math.QA",
      "q-alg"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-11-19T18:10:04Z",
    "title_canon_sha256": "87b2cef5de9554592e6b8189a1de35a3f7281b5a90dc468111ea3f5de245b512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9611144",
    "kind": "arxiv",
    "version": 1
  }
}