Pith Number

pith:K742SGGN

pith:2012:K742SGGN2ZYKIQVKRHLIQRM6ZG

not attested not anchored not stored refs pending

On the Equivalence of Fourier Expansion and Poisson Summation Formula for the Series Approximation of the Exponential Function

B. M. Quine, R. K. Jagpal, S. M. Abrarov

arxiv:1202.5457 v2 · 2012-02-14 · 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{K742SGGN2ZYKIQVKRHLIQRM6ZG}

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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	2026-05-17T23:47:49.560672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f9a918cdd670a442aa89d688459ec98d0fa62bf670c7637b7eeba316f4d95d

Aliases

arxiv: 1202.5457 · arxiv_version: 1202.5457v2 · doi: 10.48550/arxiv.1202.5457 · pith_short_12: K742SGGN2ZYK · pith_short_16: K742SGGN2ZYKIQVK · pith_short_8: K742SGGN

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/K742SGGN2ZYKIQVKRHLIQRM6ZG \
  | 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: 57f9a918cdd670a442aa89d688459ec98d0fa62bf670c7637b7eeba316f4d95d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58b12c84d428437ffad06c6dfcef6382fb805005a8e8fbb5fb948465c82192a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-14T18:42:45Z",
    "title_canon_sha256": "a10a73a23d48e12e410f9b2415ac34dbeea3ade3e1a82f8a734f84052508db75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5457",
    "kind": "arxiv",
    "version": 2
  }
}