Pith Number

pith:AFGTKACZ

pith:2015:AFGTKACZ75AGDNY6OOAOXE3XLE

not attested not anchored not stored refs pending

$\mathcal{PT}$-breaking threshold in spatially asymmetric Aubry-Andre Harper models: hidden symmetry and topological states

Andrew K. Harter, Tony E. Lee, Yogesh N. Joglekar

arxiv:1504.03767 v2 · 2015-04-15 · physics.optics · cond-mat.quant-gas · quant-ph

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

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	2026-05-18T01:12:59.785061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

014d350059ff4061b71e7380eb93775925449c26243ce63f70bb93bfc53be1c3

Aliases

arxiv: 1504.03767 · arxiv_version: 1504.03767v2 · doi: 10.48550/arxiv.1504.03767 · pith_short_12: AFGTKACZ75AG · pith_short_16: AFGTKACZ75AGDNY6 · pith_short_8: AFGTKACZ

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/AFGTKACZ75AGDNY6OOAOXE3XLE \
  | 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: 014d350059ff4061b71e7380eb93775925449c26243ce63f70bb93bfc53be1c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e34d2d11de51111c2417ea9014f76ed0f579ef61dad532b00e32826e01277070",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-04-15T02:22:19Z",
    "title_canon_sha256": "8b0ef8fc53d16533d35b46bea5f1f9be9c84528c467de954dc5fc1ff5fd77020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03767",
    "kind": "arxiv",
    "version": 2
  }
}