Pith Number

pith:6YHQDI5J

pith:2018:6YHQDI5JMLUL2SHVZRAMPYMRLL

not attested not anchored not stored refs pending

Extreme points in limit sets

Alden Walker, Danny Calegari

arxiv:1811.07063 v1 · 2018-11-16 · math.DS · math.CV · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YHQDI5JMLUL2SHVZRAMPYMRLL}

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	2026-05-18T00:00:29.091722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f60f01a3a962e8bd48f5cc40c7e1915aebd4c3a46cb940db5354cd5a73c17953

Aliases

arxiv: 1811.07063 · arxiv_version: 1811.07063v1 · doi: 10.48550/arxiv.1811.07063 · pith_short_12: 6YHQDI5JMLUL · pith_short_16: 6YHQDI5JMLUL2SHV · pith_short_8: 6YHQDI5J

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/6YHQDI5JMLUL2SHVZRAMPYMRLL \
  | 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: f60f01a3a962e8bd48f5cc40c7e1915aebd4c3a46cb940db5354cd5a73c17953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "302d6459ab75a89e20fcb15c3f799dbbbf352ee40628b6fb7b8bf6013388ad17",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-11-16T23:33:29Z",
    "title_canon_sha256": "9df2a010b23957e8df22c7f962eef546d3aa21eb463565136a40b691b28ea95f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07063",
    "kind": "arxiv",
    "version": 1
  }
}