Pith Number

pith:E5DUFM4C

pith:2015:E5DUFM4CSYX3VD3KVHTFJRNIZ3

not attested not anchored not stored refs pending

The theory of exponential sums

Boris Zilber

arxiv:1501.03297 v1 · 2015-01-14 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5DUFM4CSYX3VD3KVHTFJRNIZ3}

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	2026-05-18T02:29:24.317697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

274742b382962fba8f6aa9e654c5a8cef3447b4c6c06983b0bd573f093a374d2

Aliases

arxiv: 1501.03297 · arxiv_version: 1501.03297v1 · doi: 10.48550/arxiv.1501.03297 · pith_short_12: E5DUFM4CSYX3 · pith_short_16: E5DUFM4CSYX3VD3K · pith_short_8: E5DUFM4C

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/E5DUFM4CSYX3VD3KVHTFJRNIZ3 \
  | 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: 274742b382962fba8f6aa9e654c5a8cef3447b4c6c06983b0bd573f093a374d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ec1336d8d3610694e4ea1262e76100bfa7b494656964ede93144e5bf515fcc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-01-14T10:00:30Z",
    "title_canon_sha256": "5900303459d768a5769750fc12933956a48a190d4723ec4976437f9edb56f3cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03297",
    "kind": "arxiv",
    "version": 1
  }
}