Pith Number

pith:T6ZVNNL6

pith:2015:T6ZVNNL6ZA5TC24QDST7QUEWF3

not attested not anchored not stored refs pending

Quasicircles of dimension 1+k^2 do not exist

Oleg Ivrii

arxiv:1511.07240 v2 · 2015-11-23 · math.DS · 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{T6ZVNNL6ZA5TC24QDST7QUEWF3}

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	2026-05-18T01:17:04.973635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fb356b57ec83b316b901ca7f850962ecbe39fe72157ee09835de0654c002810

Aliases

arxiv: 1511.07240 · arxiv_version: 1511.07240v2 · doi: 10.48550/arxiv.1511.07240 · pith_short_12: T6ZVNNL6ZA5T · pith_short_16: T6ZVNNL6ZA5TC24Q · pith_short_8: T6ZVNNL6

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/T6ZVNNL6ZA5TC24QDST7QUEWF3 \
  | 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: 9fb356b57ec83b316b901ca7f850962ecbe39fe72157ee09835de0654c002810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e589d12a1a9757ed1f151fa1dea0a8cebdd99e104e2127b202c1f9ec95f06a7e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-23T14:36:11Z",
    "title_canon_sha256": "b1353324322dbe89ade2459b48bf2ac11f9e5440426a5a2023661a1ce311185d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07240",
    "kind": "arxiv",
    "version": 2
  }
}