Pith Number

pith:5O4TO5BY

pith:2015:5O4TO5BYPK4WHIUZKYUSVJ4RYO

not attested not anchored not stored refs pending

Poincare Extension of Moebius Transformations

Vladimir V. Kisil

arxiv:1507.02257 v3 · 2015-07-08 · math.CV · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5O4TO5BYPK4WHIUZKYUSVJ4RYO}

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	2026-05-18T00:13:08.268491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb93774387ab963a29956292aa791c395c7136ee0309669b64fe173b4e664b0

Aliases

arxiv: 1507.02257 · arxiv_version: 1507.02257v3 · doi: 10.48550/arxiv.1507.02257 · pith_short_12: 5O4TO5BYPK4W · pith_short_16: 5O4TO5BYPK4WHIUZ · pith_short_8: 5O4TO5BY

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/5O4TO5BYPK4WHIUZKYUSVJ4RYO \
  | 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: ebb93774387ab963a29956292aa791c395c7136ee0309669b64fe173b4e664b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7ff8a9aaf87b314a687774fa6d9e6af19d16c22d4c946c916490d8e64ffe1da",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-07-08T19:07:49Z",
    "title_canon_sha256": "3672a2590b2a782493327cce6fa9fbbe45098d3e4a26062997e549e423d2d450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02257",
    "kind": "arxiv",
    "version": 3
  }
}