Pith Number

pith:NJA2HZIW

pith:2018:NJA2HZIWCFMWAJBBBFR2VR3JAG

not attested not anchored not stored refs pending

On the symmetry of finite sums of exponentials

Dimitris Vartziotis, Florian Pausinger

arxiv:1810.01674 v1 · 2018-10-03 · 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{NJA2HZIWCFMWAJBBBFR2VR3JAG}

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	2026-05-18T00:04:11.276401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a41a3e51611596024210963aac769018d23049e1732e8378a23f2ff225790bb

Aliases

arxiv: 1810.01674 · arxiv_version: 1810.01674v1 · doi: 10.48550/arxiv.1810.01674 · pith_short_12: NJA2HZIWCFMW · pith_short_16: NJA2HZIWCFMWAJBB · pith_short_8: NJA2HZIW

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/NJA2HZIWCFMWAJBBBFR2VR3JAG \
  | 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: 6a41a3e51611596024210963aac769018d23049e1732e8378a23f2ff225790bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "238f25c9f361e05786b7c65f5ae7e0fc5855a044d0a4b636dfd88cc784734c08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-03T10:26:07Z",
    "title_canon_sha256": "f8ceb4f233129302e21b157d6e74003ff714a3115f4934c75a805e839dcd19cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01674",
    "kind": "arxiv",
    "version": 1
  }
}