Pith. sign in
Pith Number

pith:QY5GQ6ZS

pith:2002:QY5GQ6ZSRS6OH3O2IBFIU2BRBC
not attested not anchored not stored refs pending

Band structure in classical field theory

Michael Salem, Tanmay Vachaspati

arxiv:hep-th/0203037 v2 · 2002-03-05 · hep-th · cond-mat · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QY5GQ6ZSRS6OH3O2IBFIU2BRBC}

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 2026-07-04T16:34:35.102552Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

863a687b328cbce3edda404a8a6831089f236b3bc3063f567de9fead2f704d76

Aliases

arxiv: hep-th/0203037 · arxiv_version: hep-th/0203037v2 · doi: 10.48550/arxiv.hep-th/0203037 · pith_short_12: QY5GQ6ZSRS6O · pith_short_16: QY5GQ6ZSRS6OH3O2 · pith_short_8: QY5GQ6ZS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QY5GQ6ZSRS6OH3O2IBFIU2BRBC \
  | 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: 863a687b328cbce3edda404a8a6831089f236b3bc3063f567de9fead2f704d76
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "81ac9830dfbbd77faa9579e7a29d11f9c55a66015070de7ab7e6801834955d1c",
    "cross_cats_sorted": [
      "cond-mat",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-03-05T18:29:36Z",
    "title_canon_sha256": "40ed0cb890a528d680b6496eade243b85802547d8f79301784629e7d2fbee749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0203037",
    "kind": "arxiv",
    "version": 2
  }
}