Pith Number

pith:WB4FJ6WT

pith:2013:WB4FJ6WT2NMEK7E5UXBHADBGUR

not attested not anchored not stored refs pending

Elementary methods for evaluating Jordan's sums and analogous Euler's type sums and for setting a sigma sum theorem

Guy Bastien

arxiv:1301.7662 v1 · 2013-01-31 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WB4FJ6WT2NMEK7E5UXBHADBGUR}

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	2026-05-18T03:34:49.015608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07854fad3d358457c9da5c2700c26a47fef8a62e70e7858763a60dd22a4064f

Aliases

arxiv: 1301.7662 · arxiv_version: 1301.7662v1 · doi: 10.48550/arxiv.1301.7662 · pith_short_12: WB4FJ6WT2NME · pith_short_16: WB4FJ6WT2NMEK7E5 · pith_short_8: WB4FJ6WT

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/WB4FJ6WT2NMEK7E5UXBHADBGUR \
  | 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: b07854fad3d358457c9da5c2700c26a47fef8a62e70e7858763a60dd22a4064f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eb0edb074f9c13454b0b6b1f12357f864f337398babf3d2e462a5316353c233",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-31T16:11:10Z",
    "title_canon_sha256": "b9334fd2fcfc2f2d284801c02aeb5c2cf30dfd72254303a105a2f0bef7267b92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7662",
    "kind": "arxiv",
    "version": 1
  }
}