Pith Number

pith:H2UTDYAS

pith:2013:H2UTDYASHU7RJR2C6S4TOIWWUS

not attested not anchored not stored refs pending

A C99 Implementation of the Clausen Sums

Richard J. Mathar

arxiv:1309.7504 v1 · 2013-09-28 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H2UTDYASHU7RJR2C6S4TOIWWUS}

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	2026-05-18T03:11:56.821423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ea931e0123d3f14c742f4b93722d6a4a6a6026ee457f9f0e2280d2c6a75a863

Aliases

arxiv: 1309.7504 · arxiv_version: 1309.7504v1 · doi: 10.48550/arxiv.1309.7504 · pith_short_12: H2UTDYASHU7R · pith_short_16: H2UTDYASHU7RJR2C · pith_short_8: H2UTDYAS

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/H2UTDYASHU7RJR2C6S4TOIWWUS \
  | 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: 3ea931e0123d3f14c742f4b93722d6a4a6a6026ee457f9f0e2280d2c6a75a863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6e6449b46d418c192c562b09aa4262a4c8a9784df8a38e756e6595ab75cb8af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-09-28T21:19:04Z",
    "title_canon_sha256": "15f035a5f7a7aa16f6e9b7750333e8b581c49036114da2ce68366d9c9cfc7d13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7504",
    "kind": "arxiv",
    "version": 1
  }
}