Pith Number

pith:D6ACALDO

pith:2011:D6ACALDOAV5TMIOP5JIIGCNI5P

not attested not anchored not stored refs pending

Flats and Submersions in Non-Negative Curvature

Curtis Pro, Frederick Wilhelm

arxiv:1104.5252 v3 · 2011-04-27 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6ACALDOAV5TMIOP5JIIGCNI5P}

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	2026-05-18T04:05:27.550433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f80202c6e057b3621cfea508309a8ebc4ba618965281433b825554154b74817

Aliases

arxiv: 1104.5252 · arxiv_version: 1104.5252v3 · doi: 10.48550/arxiv.1104.5252 · pith_short_12: D6ACALDOAV5T · pith_short_16: D6ACALDOAV5TMIOP · pith_short_8: D6ACALDO

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/D6ACALDOAV5TMIOP5JIIGCNI5P \
  | 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: 1f80202c6e057b3621cfea508309a8ebc4ba618965281433b825554154b74817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "042d348af34d3c7d0c98236e19e81a660e46be7189a4acc6dd8296fc73892f13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-27T21:28:58Z",
    "title_canon_sha256": "f98f491046948a15fe4b827c11dd17aafdc27b1d1e3f28df3dea84d3634ee510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5252",
    "kind": "arxiv",
    "version": 3
  }
}