Pith Number

pith:VR5P5Z2X

pith:2019:VR5P5Z2XZAPIDKVI3UHQVTB3VW

not attested not anchored not stored refs pending

Bing meets Sobolev

Jani Onninen, Pekka Pankka

arxiv:1908.09193 v1 · 2019-08-24 · math.MG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VR5P5Z2XZAPIDKVI3UHQVTB3VW}

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	2026-07-04T23:59:37.541954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7afee757c81e81aaa8dd0f0acc3bad8fe42ce8e1920a0aa30e1139be46d248

Aliases

arxiv: 1908.09193 · arxiv_version: 1908.09193v1 · doi: 10.48550/arxiv.1908.09193 · pith_short_12: VR5P5Z2XZAPI · pith_short_16: VR5P5Z2XZAPIDKVI · pith_short_8: VR5P5Z2X

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/VR5P5Z2XZAPIDKVI3UHQVTB3VW \
  | 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: ac7afee757c81e81aaa8dd0f0acc3bad8fe42ce8e1920a0aa30e1139be46d248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee604f3bca440dba4c476129e01e76bf419c3f91267450b7aa3dfccc5be3e495",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-24T19:50:34Z",
    "title_canon_sha256": "26d288e51e72446002ec477c2a9c0b1de7522c95d5b90b1000829768e1c21a10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09193",
    "kind": "arxiv",
    "version": 1
  }
}