Pith Number

pith:7V3WYVFQ

pith:2018:7V3WYVFQC7Q4FWX6NQ5EPJVVZY

not attested not anchored not stored refs pending

Images of circles, lines, balls and half-planes under Mobius transformations

Mateusz Krukowski

arxiv:1806.00200 v1 · 2018-06-01 · 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{7V3WYVFQC7Q4FWX6NQ5EPJVVZY}

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	2026-05-18T00:14:27.646209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd776c54b017e1c2dafe6c3a47a6b5ce14624705e7251b111659b4130c26fd1c

Aliases

arxiv: 1806.00200 · arxiv_version: 1806.00200v1 · doi: 10.48550/arxiv.1806.00200 · pith_short_12: 7V3WYVFQC7Q4 · pith_short_16: 7V3WYVFQC7Q4FWX6 · pith_short_8: 7V3WYVFQ

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/7V3WYVFQC7Q4FWX6NQ5EPJVVZY \
  | 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: fd776c54b017e1c2dafe6c3a47a6b5ce14624705e7251b111659b4130c26fd1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb6ad9a689a34aa3418eaf6b7b3f9d4e06edf06d1354ba6cda52326ca15fb8fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-06-01T05:30:53Z",
    "title_canon_sha256": "30c8919d33349fc6e2d3076b10d4a09e37e33929ca9b4015203ea9df5c4e5a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00200",
    "kind": "arxiv",
    "version": 1
  }
}