Pith Number

pith:RT6EWHQU

pith:2015:RT6EWHQUF7OB3XX6XURHNNNNH4

not attested not anchored not stored refs pending

Laplace Symbols and Invariant Distributions

Alexander Schnurr, Anita Behme

arxiv:1509.04727 v2 · 2015-09-15 · 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{RT6EWHQUF7OB3XX6XURHNNNNH4}

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	2026-05-18T00:18:04.422800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cfc4b1e142fdc1ddefebd2276b5ad3f3751873ff059614be641aa29846ff1a0

Aliases

arxiv: 1509.04727 · arxiv_version: 1509.04727v2 · doi: 10.48550/arxiv.1509.04727 · pith_short_12: RT6EWHQUF7OB · pith_short_16: RT6EWHQUF7OB3XX6 · pith_short_8: RT6EWHQU

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/RT6EWHQUF7OB3XX6XURHNNNNH4 \
  | 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: 8cfc4b1e142fdc1ddefebd2276b5ad3f3751873ff059614be641aa29846ff1a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "815603c867d93123d9ec45075da52a2582756927fc86195ff30ed27ce0512742",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-15T20:18:41Z",
    "title_canon_sha256": "22483ac91c69e2dd9dd19b9cd918d0986f5b08054ddd6a6159c25751fc5ee5f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04727",
    "kind": "arxiv",
    "version": 2
  }
}