Pith Number

pith:BI6XPEKV

pith:2012:BI6XPEKVXV2KKYC6D7JOT3FJIW

not attested not anchored not stored refs pending

Injective Simplicial Maps of the Complexes of Curves of Nonorientable Surfaces

Elmas Irmak

arxiv:1203.4271 v2 · 2012-03-19 · 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{BI6XPEKVXV2KKYC6D7JOT3FJIW}

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	2026-05-18T03:59:02.768933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a3d779155bd74a5605e1fd2e9eca945adf347a4f37788fa1acc3096ab09fe31

Aliases

arxiv: 1203.4271 · arxiv_version: 1203.4271v2 · doi: 10.48550/arxiv.1203.4271 · pith_short_12: BI6XPEKVXV2K · pith_short_16: BI6XPEKVXV2KKYC6 · pith_short_8: BI6XPEKV

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/BI6XPEKVXV2KKYC6D7JOT3FJIW \
  | 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: 0a3d779155bd74a5605e1fd2e9eca945adf347a4f37788fa1acc3096ab09fe31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2837ff3c2f6dcf4f2ea9dd1881e0cd032115c482ab3f3ecc5376b9c11dc44f90",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-19T21:36:28Z",
    "title_canon_sha256": "63a136fb1654f4aec5bbf2e614ef7c9e998a3585b341e333c8ce3095e6f94163"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4271",
    "kind": "arxiv",
    "version": 2
  }
}