Pith Number

pith:KRDJXAL7

pith:2012:KRDJXAL7X7ASCBHEP7NOTGCH7M

not attested not anchored not stored refs pending

Quantum entanglement and phase transition in a two-dimensional photon-photon pair model

Jianhui Yuan, Jianjun Zhang

arxiv:1204.0951 v2 · 2012-04-04 · cond-mat.quant-gas · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRDJXAL7X7ASCBHEP7NOTGCH7M}

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	2026-05-18T01:57:57.137863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54469b817fbfc12104e47fdae99847fb0f21c93b856b0d4d6192380ec78ba3f3

Aliases

arxiv: 1204.0951 · arxiv_version: 1204.0951v2 · doi: 10.48550/arxiv.1204.0951 · pith_short_12: KRDJXAL7X7AS · pith_short_16: KRDJXAL7X7ASCBHE · pith_short_8: KRDJXAL7

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/KRDJXAL7X7ASCBHEP7NOTGCH7M \
  | 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: 54469b817fbfc12104e47fdae99847fb0f21c93b856b0d4d6192380ec78ba3f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18f7f8295f74eb3ef4cb5cc6e2adc2874122116212c00c287465372fcb999c58",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2012-04-04T13:58:52Z",
    "title_canon_sha256": "38a3313f349234d07acfee1ae6cc8f8bf4c044a57f686fe07a69c3aa81bc4ec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0951",
    "kind": "arxiv",
    "version": 2
  }
}