Pith Number

pith:U3N7UKIB

pith:2012:U3N7UKIB2F7FU24R644XUQ3IGG

not attested not anchored not stored refs pending

Order and Chaos in some Trigonometric Series: Curious Adventures of a Statistical Mechanic

Michael K.-H. Kiessling

arxiv:1206.5031 v2 · 2012-06-21 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3N7UKIB2F7FU24R644XUQ3IGG}

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	2026-05-18T02:21:08.812500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6dbfa2901d17e5a6b91f7397a4368319699813ecf4b7c45d4bd5a177050956d

Aliases

arxiv: 1206.5031 · arxiv_version: 1206.5031v2 · doi: 10.48550/arxiv.1206.5031 · pith_short_12: U3N7UKIB2F7F · pith_short_16: U3N7UKIB2F7FU24R · pith_short_8: U3N7UKIB

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/U3N7UKIB2F7FU24R644XUQ3IGG \
  | 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: a6dbfa2901d17e5a6b91f7397a4368319699813ecf4b7c45d4bd5a177050956d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "357ecf3193d9aeaa24d738dbe931acf9abb86d6c024c06f4d7fb102e089be68d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-21T23:10:18Z",
    "title_canon_sha256": "e1820d9bcffb701a5466cbcc647e072e363f36e78287a4708d95641f3cc275a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5031",
    "kind": "arxiv",
    "version": 2
  }
}