Pith Number

pith:TMEHKHBL

pith:2011:TMEHKHBLLPFGSHELN2LVYRDYYU

not attested not anchored not stored refs pending

Critical points, the Gauss curvature equation and Blaschke products

Daniela Kraus, Oliver Roth

arxiv:1109.4711 v2 · 2011-09-22 · 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{TMEHKHBLLPFGSHELN2LVYRDYYU}

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	2026-05-18T03:29:38.677939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b08751c2b5bca691c8b6e975c4478c51bceff3d97ff939f2f5138e7b94c21da

Aliases

arxiv: 1109.4711 · arxiv_version: 1109.4711v2 · doi: 10.48550/arxiv.1109.4711 · pith_short_12: TMEHKHBLLPFG · pith_short_16: TMEHKHBLLPFGSHEL · pith_short_8: TMEHKHBL

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/TMEHKHBLLPFGSHELN2LVYRDYYU \
  | 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: 9b08751c2b5bca691c8b6e975c4478c51bceff3d97ff939f2f5138e7b94c21da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a433b2baf2bd96edf6a164e9d82733ca8380a78542361390d25dbd663a2621e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-09-22T06:55:52Z",
    "title_canon_sha256": "5c886365fb181deb91b6e3f3b21bf2710da0a28f63b94da111ce044b94a47ff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4711",
    "kind": "arxiv",
    "version": 2
  }
}