Pith Number

pith:7GAYJFDH

pith:2017:7GAYJFDHCRIJ3ROSKTY4LVQ36O

not attested not anchored not stored refs pending

Explicit asymptotics for certain single and double exponential sums

Athanassios S. Fokas, Konstantinos Kalimeris

arxiv:1708.02868 v3 · 2017-08-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GAYJFDHCRIJ3ROSKTY4LVQ36O}

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	2026-05-18T00:01:16.629393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f98184946714509dc5d254f1c5d61bf3b693d0a3ad516f81383d1f205d29221f

Aliases

arxiv: 1708.02868 · arxiv_version: 1708.02868v3 · doi: 10.48550/arxiv.1708.02868 · pith_short_12: 7GAYJFDHCRIJ · pith_short_16: 7GAYJFDHCRIJ3ROS · pith_short_8: 7GAYJFDH

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/7GAYJFDHCRIJ3ROSKTY4LVQ36O \
  | 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: f98184946714509dc5d254f1c5d61bf3b693d0a3ad516f81383d1f205d29221f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e07dcb3e9ad511e0c39a8a55450862bb594bbbd24e2ca38d88d528e7ee610910",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-09T15:14:59Z",
    "title_canon_sha256": "71d71b1929a0fbeda73e9bc637c609b2e58cd11775c9dc1bfc3237343cf867ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02868",
    "kind": "arxiv",
    "version": 3
  }
}