Pith Number

pith:2QQMQPUQ

pith:2019:2QQMQPUQYJLOBDBRO4GRRAAR6J

not attested not anchored not stored refs pending

The G-wavefront set and the twisted convolution product

Dorothea Bahns, Ren\'e Schulz

arxiv:1901.00700 v1 · 2019-01-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QQMQPUQYJLOBDBRO4GRRAAR6J}

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	2026-05-17T23:57:01.607983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d420c83e90c256e08c31770d188011f270211a710fac728eeb6a97425dd14f33

Aliases

arxiv: 1901.00700 · arxiv_version: 1901.00700v1 · doi: 10.48550/arxiv.1901.00700 · pith_short_12: 2QQMQPUQYJLO · pith_short_16: 2QQMQPUQYJLOBDBR · pith_short_8: 2QQMQPUQ

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/2QQMQPUQYJLOBDBRO4GRRAAR6J \
  | 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: d420c83e90c256e08c31770d188011f270211a710fac728eeb6a97425dd14f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba66b9abaaaaee8f153b8e89d8bb01886ed1b3e28478e4e756ce9440499364e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-03T12:38:57Z",
    "title_canon_sha256": "40f95452ff1af740c2bdaa7988b743ca11ce7cee44b7a466afb1c84a2027a672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00700",
    "kind": "arxiv",
    "version": 1
  }
}