Pith Number

pith:UYGMZNQH

pith:2011:UYGMZNQH4IUAXGQ7QUIUYRA24Z

not attested not anchored not stored refs pending

Removable and essential singular sets for higher dimensional conformal maps

Charles Frances

arxiv:1110.0898 v1 · 2011-10-05 · math.DG · 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{UYGMZNQH4IUAXGQ7QUIUYRA24Z}

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	2026-05-18T04:11:40.210516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a60cccb607e2280b9a1f85114c441ae6718346fdf363daac9b1fca0bfae61d44

Aliases

arxiv: 1110.0898 · arxiv_version: 1110.0898v1 · doi: 10.48550/arxiv.1110.0898 · pith_short_12: UYGMZNQH4IUA · pith_short_16: UYGMZNQH4IUAXGQ7 · pith_short_8: UYGMZNQH

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/UYGMZNQH4IUAXGQ7QUIUYRA24Z \
  | 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: a60cccb607e2280b9a1f85114c441ae6718346fdf363daac9b1fca0bfae61d44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "386c15d1b4d64085de60d7c1c19d7c40e19eeb54ca056d0d8eea20f0457f7189",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-05T05:34:57Z",
    "title_canon_sha256": "4643716b9b414a6e446d83bd1be85947f86f454079f83e45492aecb4f9d4d3c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0898",
    "kind": "arxiv",
    "version": 1
  }
}