Pith Number

pith:56NJGOWU

pith:2018:56NJGOWUUAAWMD5X6BVQT2GPEY

not attested not anchored not stored refs pending

Orthogonal testing families and holomorphic extension from the sphere to the ball

Luca Baracco, Martino Fassina

arxiv:1808.07444 v2 · 2018-08-22 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56NJGOWUUAAWMD5X6BVQT2GPEY}

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	2026-05-17T23:56:14.756614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef9a933ad4a001660fb7f06b09e8cf260f45c43327fd2f19c833f34fa203216c

Aliases

arxiv: 1808.07444 · arxiv_version: 1808.07444v2 · doi: 10.48550/arxiv.1808.07444 · pith_short_12: 56NJGOWUUAAW · pith_short_16: 56NJGOWUUAAWMD5X · pith_short_8: 56NJGOWU

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/56NJGOWUUAAWMD5X6BVQT2GPEY \
  | 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: ef9a933ad4a001660fb7f06b09e8cf260f45c43327fd2f19c833f34fa203216c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf367b017db2835cac1a938e4a70f7cd5f887d2e86f5d1d7077840814d3b93d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-08-22T17:16:29Z",
    "title_canon_sha256": "7abbfd3489561c4d4a874360b359b2df0f0ae740ddbb3ac2fbfafe66c18ca172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07444",
    "kind": "arxiv",
    "version": 2
  }
}