Pith Number

pith:TYR22DEB

pith:2011:TYR22DEBVAULNXBKUCTZPDMZAZ

not attested not anchored not stored refs pending

Constant mean curvature cylinders with irregular ends

Martin Kilian, Nicholas Schmitt

arxiv:1106.5852 v1 · 2011-06-29 · 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{TYR22DEBVAULNXBKUCTZPDMZAZ}

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	2026-05-18T03:20:18.909067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e23ad0c81a828b6dc2aa0a7978d9906460fe65bb4fc3fd1a2b117719d54c75f

Aliases

arxiv: 1106.5852 · arxiv_version: 1106.5852v1 · doi: 10.48550/arxiv.1106.5852 · pith_short_12: TYR22DEBVAUL · pith_short_16: TYR22DEBVAULNXBK · pith_short_8: TYR22DEB

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/TYR22DEBVAULNXBKUCTZPDMZAZ \
  | 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: 9e23ad0c81a828b6dc2aa0a7978d9906460fe65bb4fc3fd1a2b117719d54c75f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b327fd1e541eea63ec8dac04b6433eafacfe921641c27dc0774e29b084132655",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-06-29T07:10:02Z",
    "title_canon_sha256": "22ac633094682a421728d83027db170db31b39dbcab90af282f616291971a00f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5852",
    "kind": "arxiv",
    "version": 1
  }
}