Pith Number

pith:W6OUSIDK

pith:2011:W6OUSIDKC6MKZFQCLJJQWZ3PIJ

not attested not anchored not stored refs pending

Invisibility in PT-symmetric complex crystals

Stefano Longhi

arxiv:1111.3448 v1 · 2011-11-15 · 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{W6OUSIDKC6MKZFQCLJJQWZ3PIJ}

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.

Cited by

1 paper in Pith

Benchmarking Real-Time Question Answering via Executable Code Workflows

Receipt and verification

First computed	2026-05-18T01:59:33.311091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b79d49206a1798ac96025a530b676f4268797353fc52f1ede0767bf226e98f93

Aliases

arxiv: 1111.3448 · arxiv_version: 1111.3448v1 · doi: 10.48550/arxiv.1111.3448 · pith_short_12: W6OUSIDKC6MK · pith_short_16: W6OUSIDKC6MKZFQC · pith_short_8: W6OUSIDK

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/W6OUSIDKC6MKZFQCLJJQWZ3PIJ \
  | 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: b79d49206a1798ac96025a530b676f4268797353fc52f1ede0767bf226e98f93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90f9140933070e01bc9df9a520378530a3dc5a3aa34de8dae22e53c40074e2fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-15T08:28:32Z",
    "title_canon_sha256": "07325b50f83d42fb7969a93d05869300b97290ccf3838f97025babd854b50492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3448",
    "kind": "arxiv",
    "version": 1
  }
}