Pith Number

pith:KNFV5DDW

pith:2025:KNFV5DDWQODOFW2ASRUCUNXXHR

not attested not anchored not stored refs pending

Ramanujan, Landau and Casimir, divergent series: a physicist point of view

Gilles Montambaux

arxiv:2506.08664 v1 · 2025-06-10 · cond-mat.other · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNFV5DDWQODOFW2ASRUCUNXXHR}

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	2026-07-05T12:08:03.979360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

534b5e8c768386e2db4094682a36f73c6002e5bbd7208aac066902463d2bca92

Aliases

arxiv: 2506.08664 · arxiv_version: 2506.08664v1 · doi: 10.48550/arxiv.2506.08664 · pith_short_12: KNFV5DDWQODO · pith_short_16: KNFV5DDWQODOFW2A · pith_short_8: KNFV5DDW

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/KNFV5DDWQODOFW2ASRUCUNXXHR \
  | 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: 534b5e8c768386e2db4094682a36f73c6002e5bbd7208aac066902463d2bca92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e41b62b0999c39ffd8f65c55489dea8d17b1933eff9e860de7f40c5aa7029e8a",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2025-06-10T10:26:04Z",
    "title_canon_sha256": "7c3d0bc0f33f200e752cdad4677d89fb84b384628ad43dc8c4c79ba4707a441c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08664",
    "kind": "arxiv",
    "version": 1
  }
}