Pith Number

pith:C2KQK4I3

pith:2024:C2KQK4I3RN6564GRQU533L5S47

not attested not anchored not stored refs pending

Distribution Function for $n \ge g$ Quantum Particles

Shimul Akhanjee

arxiv:2411.09877 v2 · 2024-11-15 · cond-mat.quant-gas · cond-mat.stat-mech · 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{C2KQK4I3RN6564GRQU533L5S47}

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.

Cited by

1 paper in Pith

The Statistical Mechanics of Indistinguishable Energy States and the Glass Transition

Receipt and verification

First computed	2026-07-05T09:44:54.621215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

169505711b8b7ddf70d1853bbdafb2e7fa748066a1239b45c9aad97e3f9064c5

Aliases

arxiv: 2411.09877 · arxiv_version: 2411.09877v2 · doi: 10.48550/arxiv.2411.09877 · pith_short_12: C2KQK4I3RN65 · pith_short_16: C2KQK4I3RN6564GR · pith_short_8: C2KQK4I3

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/C2KQK4I3RN6564GRQU533L5S47 \
  | 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: 169505711b8b7ddf70d1853bbdafb2e7fa748066a1239b45c9aad97e3f9064c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "475dfdcb8d38c86f3e63688e61d592c97f55849e61fdfe053f4655c8f6f88b1c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2024-11-15T01:53:48Z",
    "title_canon_sha256": "c13c4f0aaf76fdf2bb223371457d723a1551895e8b5920b037ae3fd52f72d684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09877",
    "kind": "arxiv",
    "version": 2
  }
}