Pith Number

pith:Q7CKAP6A

pith:2020:Q7CKAP6AXT2BMHBLHIJ2JT6CVH

not attested not anchored not stored refs pending

Structuring co- and counter-flowing currents of polariton condensates in concentric ring-shaped potentials

Franziska Barkhausen, Matthias Pukrop, Stefan Schumacher, Xuekai Ma

arxiv:2012.05565 v1 · 2020-12-10 · 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{Q7CKAP6AXT2BMHBLHIJ2JT6CVH}

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	2026-07-05T02:17:44.483762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87c4a03fc0bcf4161c2b3a13a4cfc2a9cf7a236c7f44bc17c6982b24d28b9867

Aliases

arxiv: 2012.05565 · arxiv_version: 2012.05565v1 · doi: 10.48550/arxiv.2012.05565 · pith_short_12: Q7CKAP6AXT2B · pith_short_16: Q7CKAP6AXT2BMHBL · pith_short_8: Q7CKAP6A

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/Q7CKAP6AXT2BMHBLHIJ2JT6CVH \
  | 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: 87c4a03fc0bcf4161c2b3a13a4cfc2a9cf7a236c7f44bc17c6982b24d28b9867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3c12e79726281043d11991b4de517b094653b7236eeaf820fefa6623421fa6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2020-12-10T10:26:27Z",
    "title_canon_sha256": "73c0c0da359006b384824fd9cd4f2ddbf51e2bbaf7121ff7751fc62fc97716ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.05565",
    "kind": "arxiv",
    "version": 1
  }
}