Pith Number

pith:E77LI7U7

pith:2017:E77LI7U7QCCSA4524OKCNFKE5T

not attested not anchored not stored refs pending

Bose-Einstein condensation of photons from the thermodynamic limit to small photon numbers

Benjamin T. Walker, Robert A. Nyman

arxiv:1706.09645 v1 · 2017-06-29 · 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{E77LI7U7QCCSA4524OKCNFKE5T}

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	2026-05-18T00:19:29.986984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27feb47e9f80852073bae394269544ecd13385b807e68829969dfcdb97b6b3c4

Aliases

arxiv: 1706.09645 · arxiv_version: 1706.09645v1 · doi: 10.48550/arxiv.1706.09645 · pith_short_12: E77LI7U7QCCS · pith_short_16: E77LI7U7QCCSA452 · pith_short_8: E77LI7U7

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/E77LI7U7QCCSA4524OKCNFKE5T \
  | 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: 27feb47e9f80852073bae394269544ecd13385b807e68829969dfcdb97b6b3c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f067c5720b834d113a162d6c53f8fc46c9db9cbce393b5aab1d1bae5c6a1d0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-06-29T09:31:59Z",
    "title_canon_sha256": "6d7fe58bfbf757b896c289bf6441bf20869b2241e7d89de2fc5391a43e4b75e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09645",
    "kind": "arxiv",
    "version": 1
  }
}