Pith Number

pith:PDCMX5XF

pith:2015:PDCMX5XFCURJTBKSNMHMYXWSMM

not attested not anchored not stored refs pending

Quantum antiferromagnetic Heisenberg half-odd integer spin model as the entanglement Hamiltonian of the integer spin Affleck-Kennedy-Lieb-Tasaki states

Guang-Ming Zhang, Kun Yang, Wen-Jia Rao

arxiv:1512.06550 v2 · 2015-12-21 · cond-mat.str-el · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDCMX5XFCURJTBKSNMHMYXWSMM}

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	2026-05-18T01:18:29.949264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c4cbf6e515229985526b0ecc5ed263164eaf9308232aa924d44493956e91e7

Aliases

arxiv: 1512.06550 · arxiv_version: 1512.06550v2 · doi: 10.48550/arxiv.1512.06550 · pith_short_12: PDCMX5XFCURJ · pith_short_16: PDCMX5XFCURJTBKS · pith_short_8: PDCMX5XF

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/PDCMX5XFCURJTBKSNMHMYXWSMM \
  | 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: 78c4cbf6e515229985526b0ecc5ed263164eaf9308232aa924d44493956e91e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "793163266a924ff858086dbcd1e4f30292e1e9da834bb7d30b4f9af3861029fa",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2015-12-21T09:47:55Z",
    "title_canon_sha256": "6d0c645657d46853cc377acac083132d28beeab002b49559ffe785f644654323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06550",
    "kind": "arxiv",
    "version": 2
  }
}