Pith Number

pith:F22AGA6Q

pith:2016:F22AGA6Q7HMV5G7ZQXBM7QVIND

not attested not anchored not stored refs pending

Probabilistic Trace and Poisson Summation Formulae on Locally Compact Abelian Groups

David Applebaum

arxiv:1602.01252 v4 · 2016-02-03 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F22AGA6Q7HMV5G7ZQXBM7QVIND}

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	2026-05-18T01:20:03.134058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eb40303d0f9d95e9bf985c2cfc2a868dbcb310ceba0a3163a08384cbf4255c7

Aliases

arxiv: 1602.01252 · arxiv_version: 1602.01252v4 · doi: 10.48550/arxiv.1602.01252 · pith_short_12: F22AGA6Q7HMV · pith_short_16: F22AGA6Q7HMV5G7Z · pith_short_8: F22AGA6Q

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/F22AGA6Q7HMV5G7ZQXBM7QVIND \
  | 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: 2eb40303d0f9d95e9bf985c2cfc2a868dbcb310ceba0a3163a08384cbf4255c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c1a25f319575b0f49d107e268248b0865105591a099d16fefab7a8e2a93a46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-03T10:30:03Z",
    "title_canon_sha256": "a559663f24a4c11c14c0800127dd80c2a51fd2e1e051c7e35fc6d6eb8f411d5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01252",
    "kind": "arxiv",
    "version": 4
  }
}