Pith Number

pith:VKXQ4FWR

pith:2009:VKXQ4FWRN4IIUEH3LNZPD7UDCD

not attested not anchored not stored refs pending

Superinjective Simplicial Maps of the Complexes of Curves on Nonorientable Surfaces

Elmas Irmak

arxiv:0908.2972 v3 · 2009-08-20 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKXQ4FWRN4IIUEH3LNZPD7UDCD}

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	2026-05-18T02:24:47.647052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaaf0e16d16f108a10fb5b72f1fe8310c96b81fdd2a4a721ec17c8e0461ddb0c

Aliases

arxiv: 0908.2972 · arxiv_version: 0908.2972v3 · doi: 10.48550/arxiv.0908.2972 · pith_short_12: VKXQ4FWRN4II · pith_short_16: VKXQ4FWRN4IIUEH3 · pith_short_8: VKXQ4FWR

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/VKXQ4FWRN4IIUEH3LNZPD7UDCD \
  | 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: aaaf0e16d16f108a10fb5b72f1fe8310c96b81fdd2a4a721ec17c8e0461ddb0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ab12db24882ba6de0319e2a6e729c36992b48245c84ab1a9404e8dbdb4a32e2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-08-20T18:46:07Z",
    "title_canon_sha256": "5438ab5eca37f4d18d96a6e23c37c70c5089679617677ff64daef3225dee3632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2972",
    "kind": "arxiv",
    "version": 3
  }
}