pith. sign in
Pith Number

pith:N7RP3E5E

pith:2009:N7RP3E5EBACBVGRHHXDNFNEZYD
not attested not anchored not stored refs pending

Phase diagram of the spin-1/2 $J_1$-$J_2$-$J_3$ Heisenberg model on the square lattice

Nic Shannon, Philippe Sindzingre, Tsutomu Momoi

arxiv:0907.4163 v1 · 2009-07-23 · cond-mat.str-el · cond-mat.mtrl-sci

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{N7RP3E5EBACBVGRHHXDNFNEZYD}

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 2026-05-18T02:12:54.132626Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6fe2fd93a408041a9a273dc6d2b499c0ead039351fba7a70032380e4d776e8cf

Aliases

arxiv: 0907.4163 · arxiv_version: 0907.4163v1 · doi: 10.48550/arxiv.0907.4163 · pith_short_12: N7RP3E5EBACB · pith_short_16: N7RP3E5EBACBVGRH · pith_short_8: N7RP3E5E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/N7RP3E5EBACBVGRHHXDNFNEZYD \
  | 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: 6fe2fd93a408041a9a273dc6d2b499c0ead039351fba7a70032380e4d776e8cf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ff15f6b0ede12d70f6309e0edf458b8a5e2a44534dd5a88015c0b72b25bc7fca",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2009-07-23T20:26:55Z",
    "title_canon_sha256": "576dedaf47542f402d6fd5ee63e26e7ae53ea1fb3ed43112711262a79ccc0758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4163",
    "kind": "arxiv",
    "version": 1
  }
}