Pith Number

pith:CG7KEL7J

pith:1999:CG7KEL7J5AZ5MEZYEOM5MORJI4

not attested not anchored not stored refs pending

On the q-convolution on the line

Giovanna Carnovale

arxiv:math/9912113 v1 · 1999-12-15 · math.CA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CG7KEL7J5AZ5MEZYEOM5MORJI4}

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	2026-05-18T01:05:32.292180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11bea22fe9e833d613382399d63a29472762e3c1b6ac4526c3e08ecfca3250af

Aliases

arxiv: math/9912113 · arxiv_version: math/9912113v1 · doi: 10.48550/arxiv.math/9912113 · pith_short_12: CG7KEL7J5AZ5 · pith_short_16: CG7KEL7J5AZ5MEZY · pith_short_8: CG7KEL7J

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/CG7KEL7J5AZ5MEZYEOM5MORJI4 \
  | 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: 11bea22fe9e833d613382399d63a29472762e3c1b6ac4526c3e08ecfca3250af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54da45838d27db1461752e18d2652ad6b9959582cc39cd7dd5ff67b95d5df016",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1999-12-15T09:38:09Z",
    "title_canon_sha256": "12180a3b73a647aba3bdc13e8f5b20ab76805c16c6041d101078a286e68b51db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9912113",
    "kind": "arxiv",
    "version": 1
  }
}