Pith Number

pith:5VL6G6UR

pith:2017:5VL6G6URIERX7YJ2COAQLXPNCE

not attested not anchored not stored refs pending

Superinjective Simplicial Maps of the Two-sided Curve Complexes on Nonorientable Surfaces

Elmas Irmak, Luis Paris

arxiv:1707.09937 v1 · 2017-07-31 · 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{5VL6G6URIERX7YJ2COAQLXPNCE}

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	2026-05-18T00:39:07.703707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed57e37a9141237fe13a138105dded11291ca45b2d171f6ed378a336edbf059c

Aliases

arxiv: 1707.09937 · arxiv_version: 1707.09937v1 · doi: 10.48550/arxiv.1707.09937 · pith_short_12: 5VL6G6URIERX · pith_short_16: 5VL6G6URIERX7YJ2 · pith_short_8: 5VL6G6UR

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/5VL6G6URIERX7YJ2COAQLXPNCE \
  | 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: ed57e37a9141237fe13a138105dded11291ca45b2d171f6ed378a336edbf059c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a243ca66045869b864eb74477917fcc45c5507081c9603daccfb35d828118f3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-07-31T16:17:01Z",
    "title_canon_sha256": "d1d1a5afad88c0f42813a9d776b8fe596a34a5b3fca9218d258a8a5fc3434639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09937",
    "kind": "arxiv",
    "version": 1
  }
}