Pith Number

pith:YDOEHUBZ

pith:2011:YDOEHUBZEH7SUTC22IDK7IZCUB

not attested not anchored not stored refs pending

A Curve Complex and Incompressible Surfaces in $S\times \mathbb{R}$

Ingrid Irmer

arxiv:1108.4206 v4 · 2011-08-21 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDOEHUBZEH7SUTC22IDK7IZCUB}

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	2026-05-18T03:19:44.255357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0dc43d03921ff2a4c5ad206afa322a04faf89184f62e333f5a65bdf2590d538

Aliases

arxiv: 1108.4206 · arxiv_version: 1108.4206v4 · doi: 10.48550/arxiv.1108.4206 · pith_short_12: YDOEHUBZEH7S · pith_short_16: YDOEHUBZEH7SUTC2 · pith_short_8: YDOEHUBZ

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/YDOEHUBZEH7SUTC22IDK7IZCUB \
  | 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: c0dc43d03921ff2a4c5ad206afa322a04faf89184f62e333f5a65bdf2590d538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7054b88e32c4299b0d80b7ff329b4e6d97f6397a73dc0d29c57254e21b07f81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-21T20:13:42Z",
    "title_canon_sha256": "915339d51a279c1b821761b82e626649c32390af9e4570ebb8a96112ebcfa2f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4206",
    "kind": "arxiv",
    "version": 4
  }
}