pith. sign in
Pith Number

pith:YMVKBJVQ

pith:2012:YMVKBJVQQWT4OH4SXI53PTX25Q
not attested not anchored not stored refs pending

Heisenberg antiferromagnet on Cayley trees: low-energy spectrum and even/odd site imbalance

Andreas M. L\"auchli, Christopher L. Henley, Hitesh J. Changlani, Shivam Ghosh

arxiv:1208.1773 v2 · 2012-08-08 · cond-mat.str-el

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YMVKBJVQQWT4OH4SXI53PTX25Q}

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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 2026-05-18T03:31:29.548968Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c32aa0a6b085a7c71f92ba3bb7cefaec1f0046677c98f79556fdfb8d98c5fff7

Aliases

arxiv: 1208.1773 · arxiv_version: 1208.1773v2 · doi: 10.48550/arxiv.1208.1773 · pith_short_12: YMVKBJVQQWT4 · pith_short_16: YMVKBJVQQWT4OH4S · pith_short_8: YMVKBJVQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YMVKBJVQQWT4OH4SXI53PTX25Q \
  | 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: c32aa0a6b085a7c71f92ba3bb7cefaec1f0046677c98f79556fdfb8d98c5fff7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dd0348d928f248dfeaf449145e551226019de02fc82578a8b2065bed1f8bae13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2012-08-08T20:16:32Z",
    "title_canon_sha256": "b4828eb466e8cc9e2d48a2ef0bb5168b913aed34f20b16b6e1f7579423b62f01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1773",
    "kind": "arxiv",
    "version": 2
  }
}