Pith Number

pith:SBURWW6Q

pith:2011:SBURWW6QV2S267XTALDZUNK2O5

not attested not anchored not stored refs pending

Simplicial Maps of the Complexes of Curves on Nonorientable Surfaces

Elmas Irmak

arxiv:1112.1617 v2 · 2011-12-07 · 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{SBURWW6QV2S267XTALDZUNK2O5}

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	2026-05-18T03:58:36.711967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90691b5bd0aea5af7ef302c79a355a7776439562536532806cf7245c39e252af

Aliases

arxiv: 1112.1617 · arxiv_version: 1112.1617v2 · doi: 10.48550/arxiv.1112.1617 · pith_short_12: SBURWW6QV2S2 · pith_short_16: SBURWW6QV2S267XT · pith_short_8: SBURWW6Q

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/SBURWW6QV2S267XTALDZUNK2O5 \
  | 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: 90691b5bd0aea5af7ef302c79a355a7776439562536532806cf7245c39e252af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "808ae8d1c6ab7a9b1ea56841a331532ffe0b6a068b224419deb4ad4be045d9b1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-12-07T16:35:10Z",
    "title_canon_sha256": "1a7f931ad385b83c2521edfcab88c5d49a5d89b3889b0532911537fe5fc4def5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1617",
    "kind": "arxiv",
    "version": 2
  }
}