Pith Number

pith:UYMHZRHA

pith:2011:UYMHZRHAGCCLIUFB64LWHUY4AK

not attested not anchored not stored refs pending

Jordan curves and funnel sections

Charles Pugh, Conan Wu

arxiv:1102.2644 v1 · 2011-02-13 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UYMHZRHAGCCLIUFB64LWHUY4AK}

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	2026-05-18T04:28:46.871363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6187cc4e03084b450a1f71763d31c02bd19695b0cd3abcca88dc2b103cea172

Aliases

arxiv: 1102.2644 · arxiv_version: 1102.2644v1 · doi: 10.48550/arxiv.1102.2644 · pith_short_12: UYMHZRHAGCCL · pith_short_16: UYMHZRHAGCCLIUFB · pith_short_8: UYMHZRHA

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/UYMHZRHAGCCLIUFB64LWHUY4AK \
  | 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: a6187cc4e03084b450a1f71763d31c02bd19695b0cd3abcca88dc2b103cea172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f82804033c1a1deb9281d6687a85fb5aecc4b909d372c75dd93eb355935d94ec",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-13T22:41:11Z",
    "title_canon_sha256": "a4dc122bf9b6c01b0dfeb455c88d179ea2e641dafd381acf7614d4f918ce45df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2644",
    "kind": "arxiv",
    "version": 1
  }
}