Pith Number

pith:M6PXY7XG

pith:2013:M6PXY7XGHYBEVSQAD7FA6UMREK

not attested not anchored not stored refs pending

Formal duality and generalizations of the Poisson summation formula

Abhinav Kumar, Achill Sch\"urmann, Christian Reiher, Henry Cohn

arxiv:1306.6796 v2 · 2013-06-28 · math.NT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6PXY7XGHYBEVSQAD7FA6UMREK}

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	2026-05-18T00:56:38.475093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

679f7c7ee63e024aca001fca0f519122a7805b793652826624b96263b82cabb4

Aliases

arxiv: 1306.6796 · arxiv_version: 1306.6796v2 · doi: 10.48550/arxiv.1306.6796 · pith_short_12: M6PXY7XGHYBE · pith_short_16: M6PXY7XGHYBEVSQA · pith_short_8: M6PXY7XG

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/M6PXY7XGHYBEVSQAD7FA6UMREK \
  | 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: 679f7c7ee63e024aca001fca0f519122a7805b793652826624b96263b82cabb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "116571f45cb9920abab18afa99365cb8488bbea70a14cbd456fb1420747a204b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-28T11:22:55Z",
    "title_canon_sha256": "f42664e402731ad23f4212f7d03a76fc6ac0fdfc1c0cbc9663b0edb1107f3b5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6796",
    "kind": "arxiv",
    "version": 2
  }
}