Pith Number

pith:KJ5KQQGF

pith:1994:KJ5KQQGFAKDONJPUOA6PHXWATO

not attested not anchored not stored refs pending

The spectral gap for some spin chains with discrete symmetry breaking

Bruno Nachtergaele

arxiv:cond-mat/9410110 v1 · 1994-10-29 · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJ5KQQGFAKDONJPUOA6PHXWATO}

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	2026-05-18T01:39:35.444119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

527aa840c50286e6a5f4703cf3dec09b91e75679e5edaa193beff5cae02fcd06

Aliases

arxiv: cond-mat/9410110 · arxiv_version: cond-mat/9410110v1 · doi: 10.48550/arxiv.cond-mat/9410110 · pith_short_12: KJ5KQQGFAKDO · pith_short_16: KJ5KQQGFAKDONJPU · pith_short_8: KJ5KQQGF

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/KJ5KQQGFAKDONJPUOA6PHXWATO \
  | 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: 527aa840c50286e6a5f4703cf3dec09b91e75679e5edaa193beff5cae02fcd06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "988d106b04c980c5b431e904350b20c9b2da95fa4b658cd05532023ba8d20f69",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1994-10-29T19:12:09Z",
    "title_canon_sha256": "10df578704ef532351d6dfc010f8f7e358c51b9d151960a944e4d1654f16087f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9410110",
    "kind": "arxiv",
    "version": 1
  }
}