Pith Number

pith:FD7AXGE7

pith:2011:FD7AXGE7ZMLNDE5BXH5OZY6ERA

not attested not anchored not stored refs pending

Quantum Phase Transition in Antiferromagnetic Heisenberg Chains Coupled to Phonons

Chitoshi Yasuda, Satoru Akiyama

arxiv:1108.5808 v1 · 2011-08-30 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FD7AXGE7ZMLNDE5BXH5OZY6ERA}

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	2026-05-18T02:00:44.946629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28fe0b989fcb16d193a1b9faece3c4880d15b7eb5c3be22d14f1088b5d1b2247

Aliases

arxiv: 1108.5808 · arxiv_version: 1108.5808v1 · doi: 10.48550/arxiv.1108.5808 · pith_short_12: FD7AXGE7ZMLN · pith_short_16: FD7AXGE7ZMLNDE5B · pith_short_8: FD7AXGE7

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/FD7AXGE7ZMLNDE5BXH5OZY6ERA \
  | 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: 28fe0b989fcb16d193a1b9faece3c4880d15b7eb5c3be22d14f1088b5d1b2247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eef8057bb48cec6ed87492e1bb684d20949b0e017e831aed99898ae6bf70418",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-08-30T03:09:35Z",
    "title_canon_sha256": "097ac3bfcafaee956c82d4bebc4a04283aff739d09ac326c79659bf428a310e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5808",
    "kind": "arxiv",
    "version": 1
  }
}