Pith Number

pith:N2NSUTJ5

pith:1999:N2NSUTJ5OJF44A3IDLV4FTN5M6

not attested not anchored not stored refs pending

Gauged Thirring Model in the Heisenberg Picture

B. M. Pimentel, J. T. Lunardi, L. A. Manzoni

arxiv:hep-th/9911103 v1 · 1999-11-13 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2NSUTJ5OJF44A3IDLV4FTN5M6}

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	2026-05-18T00:54:21.036216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e9b2a4d3d724bce03681aebc2cdbd679914dec1837b6f80ed9134ce57cec988

Aliases

arxiv: hep-th/9911103 · arxiv_version: hep-th/9911103v1 · doi: 10.48550/arxiv.hep-th/9911103 · pith_short_12: N2NSUTJ5OJF4 · pith_short_16: N2NSUTJ5OJF44A3I · pith_short_8: N2NSUTJ5

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/N2NSUTJ5OJF44A3IDLV4FTN5M6 \
  | 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: 6e9b2a4d3d724bce03681aebc2cdbd679914dec1837b6f80ed9134ce57cec988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7216635d3675f8231a5537c93441ae0910a1e8a5f920c3a2f093e26f13e0ca66",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-11-13T21:03:47Z",
    "title_canon_sha256": "b94816ef3e28871c32c8497d1e1069c99011db26c86e281d6c82be1e4186ad69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9911103",
    "kind": "arxiv",
    "version": 1
  }
}