Pith Number

pith:LKSIV7KV

pith:2025:LKSIV7KV36LXINM4GMCDWY3Y2Z

not attested not anchored not stored refs pending

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond

Prasanta K. Panigrahi, Shreetam Dash

arxiv:2505.11519 v1 · 2025-05-08 · physics.hist-ph · 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{LKSIV7KV36LXINM4GMCDWY3Y2Z}

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	2026-07-05T11:04:22.997243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aa48afd55df9774359c33043b6378d664a944d9c687a10c6179e18f6f007fee

Aliases

arxiv: 2505.11519 · arxiv_version: 2505.11519v1 · doi: 10.48550/arxiv.2505.11519 · pith_short_12: LKSIV7KV36LX · pith_short_16: LKSIV7KV36LXINM4 · pith_short_8: LKSIV7KV

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/LKSIV7KV36LXINM4GMCDWY3Y2Z \
  | 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: 5aa48afd55df9774359c33043b6378d664a944d9c687a10c6179e18f6f007fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3efcf8f48a221e47f4f76c9fe9bc87ab7ffc6a9bcfced948e017d3af6c17a79",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2025-05-08T10:14:15Z",
    "title_canon_sha256": "4d46b910647954aefcf4955e8fa27e111a2f07715a6c64dd3a1bbd1074c6ab1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.11519",
    "kind": "arxiv",
    "version": 1
  }
}