Pith Number

pith:TLVX6MEN

pith:2013:TLVX6MENJXOJM6HSXCB63OLDDJ

not attested not anchored not stored refs pending

A note on certain convolution operators

Piotr Nayar, Tomasz Tkocz

arxiv:1301.2050 v3 · 2013-01-10 · 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{TLVX6MENJXOJM6HSXCB63OLDDJ}

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	2026-05-18T00:25:12.232869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aeb7f308d4ddc9678f2b883edb9631a4a7a16864879d2bc41eb3069fdbdf3a3

Aliases

arxiv: 1301.2050 · arxiv_version: 1301.2050v3 · doi: 10.48550/arxiv.1301.2050 · pith_short_12: TLVX6MENJXOJ · pith_short_16: TLVX6MENJXOJM6HS · pith_short_8: TLVX6MEN

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/TLVX6MENJXOJM6HSXCB63OLDDJ \
  | 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: 9aeb7f308d4ddc9678f2b883edb9631a4a7a16864879d2bc41eb3069fdbdf3a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f8d340b254ac4ebc2fcb857765ab28a260cb0ef6d7fe49549d580010ae10a0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-10T08:31:05Z",
    "title_canon_sha256": "a9cec19fac52ece63098f542ab46905f0080180ea5e76de969ba7da1508026c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2050",
    "kind": "arxiv",
    "version": 3
  }
}