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Pith Number

pith:HYAOINTD

pith:1999:HYAOINTDLQKO2TL2OMVI4X3BC4
not attested not anchored not stored refs pending

Nonlinear sigma model approach for phase disorder transitions and the pseudogap phase in chiral Gross-Neveu, Nambu-Jona-Lasinio models and strong-coupling superconductors

Egor Babaev

arxiv:hep-th/9909052 v4 · 1999-09-09 · hep-th · cond-mat.supr-con · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HYAOINTDLQKO2TL2OMVI4X3BC4}

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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 2026-05-18T02:35:54.224200Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3e00e436635c14ed4d7a732a8e5f611715e72fd5311f3e2b7142236a293a057d

Aliases

arxiv: hep-th/9909052 · arxiv_version: hep-th/9909052v4 · doi: 10.48550/arxiv.hep-th/9909052 · pith_short_12: HYAOINTDLQKO · pith_short_16: HYAOINTDLQKO2TL2 · pith_short_8: HYAOINTD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HYAOINTDLQKO2TL2OMVI4X3BC4 \
  | 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: 3e00e436635c14ed4d7a732a8e5f611715e72fd5311f3e2b7142236a293a057d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ad4b2172f83efad9d03761c127ecb7f42bb3f7aaab3fb1cd064ead60a6d6e0fc",
    "cross_cats_sorted": [
      "cond-mat.supr-con",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-09-09T22:11:59Z",
    "title_canon_sha256": "a9b0581bc3e79f30b5f7668f51f8a624ab37f8b427a72fce9950054131de0639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9909052",
    "kind": "arxiv",
    "version": 4
  }
}