Pith Number

pith:DCKDNPUC

pith:2013:DCKDNPUCH4D435C43JUUQJL445

not attested not anchored not stored refs pending

Breakdown of Bose-Einstein distribution in photonic crystals

Heng-Na Xiong, Ping-Yuan Lo, Wei-Min Zhang

arxiv:1311.5409 v1 · 2013-11-21 · 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{DCKDNPUCH4D435C43JUUQJL445}

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	2026-05-18T01:25:24.807256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

189436be823f07cdf45cda6948257ce74a40d6eb6337624d7c735778a73ef4b2

Aliases

arxiv: 1311.5409 · arxiv_version: 1311.5409v1 · doi: 10.48550/arxiv.1311.5409 · pith_short_12: DCKDNPUCH4D4 · pith_short_16: DCKDNPUCH4D435C4 · pith_short_8: DCKDNPUC

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/DCKDNPUCH4D435C43JUUQJL445 \
  | 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: 189436be823f07cdf45cda6948257ce74a40d6eb6337624d7c735778a73ef4b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f86917562ff89b7f3f21b2738ecd8309c2f84991e2c9b8092fefd64a689f660",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-11-21T14:04:01Z",
    "title_canon_sha256": "2d786c33b1003d832544d45a7fe8704b050548cea39a32e3155d1c047459e4fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5409",
    "kind": "arxiv",
    "version": 1
  }
}