Pith Number

pith:H2XL672E

pith:2004:H2XL672E7ME4YS465WXFIXYL7X

not attested not anchored not stored refs pending

Ground states in relatively bounded quantum perturbations of classical lattice systems

D. A. Yarotsky

arxiv:math-ph/0412040 v1 · 2004-12-13 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H2XL672E7ME4YS465WXFIXYL7X}

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.

Cited by

1 paper in Pith

The Ground State of the S=1 Antiferromagnetic Heisenberg Chain is Topologically Nontrivial if Gapped

Receipt and verification

First computed	2026-05-18T01:38:33.296397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eaebf7f44fb09cc4b9eedae545f0bfdc4912d4de2ca2a4fd9d67a2877ecbffc

Aliases

arxiv: math-ph/0412040 · arxiv_version: math-ph/0412040v1 · doi: 10.48550/arxiv.math-ph/0412040 · pith_short_12: H2XL672E7ME4 · pith_short_16: H2XL672E7ME4YS46 · pith_short_8: H2XL672E

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/H2XL672E7ME4YS465WXFIXYL7X \
  | 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: 3eaebf7f44fb09cc4b9eedae545f0bfdc4912d4de2ca2a4fd9d67a2877ecbffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19ea8e087cda5ddeb0e61bfb71a4fbbc1243214c70e67635a07c91af7069e93a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-12-13T12:46:19Z",
    "title_canon_sha256": "baf61f3efa7d3b0114e1ab5bc55a70590f2629a2a1849458fa8098943561a433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0412040",
    "kind": "arxiv",
    "version": 1
  }
}