Pith Number

pith:KH2QBUPM

pith:2011:KH2QBUPMCKN4YQIOPSHKYZUI3G

not attested not anchored not stored refs pending

Uniformly perfect domains and convex hulls

Martin Bridgeman, Richard Canary

arxiv:1110.2114 v2 · 2011-10-10 · 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{KH2QBUPMCKN4YQIOPSHKYZUI3G}

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	2026-05-18T03:49:35.750520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f500d1ec129bcc410e7c8eac6688d9bd53d45609b5fda02cab2bad9857eb10

Aliases

arxiv: 1110.2114 · arxiv_version: 1110.2114v2 · doi: 10.48550/arxiv.1110.2114 · pith_short_12: KH2QBUPMCKN4 · pith_short_16: KH2QBUPMCKN4YQIO · pith_short_8: KH2QBUPM

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/KH2QBUPMCKN4YQIOPSHKYZUI3G \
  | 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: 51f500d1ec129bcc410e7c8eac6688d9bd53d45609b5fda02cab2bad9857eb10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d50ee8b6afa1bca0fcf15677c323a2bdf73593291032279e0dd1f526c842ca6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-10T17:21:58Z",
    "title_canon_sha256": "e10be6619a9893cb4ca14a7afa6c26b0b859bfe8a46c18a3bc3117eedadd2b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2114",
    "kind": "arxiv",
    "version": 2
  }
}