Pith Number

pith:JB3OPUHJ

pith:2002:JB3OPUHJGQ4HQLHXAPGN6ZIXFK

not attested not anchored not stored refs pending

Interpolating between the Bose-Einstein and the Fermi-Dirac distributions in odd dimensions

L. Sriramkumar

arxiv:gr-qc/0212084 v1 · 2002-12-20 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JB3OPUHJGQ4HQLHXAPGN6ZIXFK}

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	2026-05-18T01:39:23.391568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4876e7d0e93438782cf703ccdf65172ab7d0a9590c769a6e3d96054805fdcd75

Aliases

arxiv: gr-qc/0212084 · arxiv_version: gr-qc/0212084v1 · doi: 10.48550/arxiv.gr-qc/0212084 · pith_short_12: JB3OPUHJGQ4H · pith_short_16: JB3OPUHJGQ4HQLHX · pith_short_8: JB3OPUHJ

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/JB3OPUHJGQ4HQLHXAPGN6ZIXFK \
  | 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: 4876e7d0e93438782cf703ccdf65172ab7d0a9590c769a6e3d96054805fdcd75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da82cf28a78d26c6573ae22dfc12108550a6fdad4b4d75aff1ed49a8ee1662d1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-12-20T06:50:43Z",
    "title_canon_sha256": "cc29c545d5b7873f5ff76da23b54b1e1be15b253c518873c2927b92f509ad7c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0212084",
    "kind": "arxiv",
    "version": 1
  }
}