Pith Number

pith:OH4R44ZH

pith:2019:OH4R44ZHCV4OIR6XSZW7ASKSRZ

not attested not anchored not stored refs pending

On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions

Alaa Elshorbagy, Giovanni Bellettini, Maurizio Paolini, Riccardo Scala

arxiv:1901.01781 v1 · 2019-01-07 · 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{OH4R44ZHCV4OIR6XSZW7ASKSRZ}

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	2026-05-17T23:56:51.253011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71f91e73271578e447d7966df049528e4347c4d24a59944ed5b1806932673c80

Aliases

arxiv: 1901.01781 · arxiv_version: 1901.01781v1 · doi: 10.48550/arxiv.1901.01781 · pith_short_12: OH4R44ZHCV4O · pith_short_16: OH4R44ZHCV4OIR6X · pith_short_8: OH4R44ZH

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/OH4R44ZHCV4OIR6XSZW7ASKSRZ \
  | 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: 71f91e73271578e447d7966df049528e4347c4d24a59944ed5b1806932673c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ae30e41f19275291beadb8707597a0f3a0c38622aa777c4648e4b8103f66cb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-07T12:43:37Z",
    "title_canon_sha256": "e6506050e203c44a9a22e5dce39c2b438b45c0a8a534647fb0a9f77ed43c2719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01781",
    "kind": "arxiv",
    "version": 1
  }
}