Pith Number

pith:5Y6IHLPI

pith:2017:5Y6IHLPIHQ56UW7CZFII4MZSOE

not attested not anchored not stored refs pending

Injective homomorphisms of mapping class groups of non-orientable surfaces

Elmas Irmak, Luis Paris (IMB)

arxiv:1708.00218 v1 · 2017-08-01 · 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{5Y6IHLPIHQ56UW7CZFII4MZSOE}

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	2026-05-18T00:39:05.783244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3c83ade83c3bea5be2c9508e3332710770e4fb2051350e5b66731816692594

Aliases

arxiv: 1708.00218 · arxiv_version: 1708.00218v1 · doi: 10.48550/arxiv.1708.00218 · pith_short_12: 5Y6IHLPIHQ56 · pith_short_16: 5Y6IHLPIHQ56UW7C · pith_short_8: 5Y6IHLPI

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/5Y6IHLPIHQ56UW7CZFII4MZSOE \
  | 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: ee3c83ade83c3bea5be2c9508e3332710770e4fb2051350e5b66731816692594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d79b68a065945da59192fba0376d0b67ef7c22b773dd7f6b78177577369ff13",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-08-01T09:28:28Z",
    "title_canon_sha256": "b1f1f1c1a6c9d4577f37d7850466b024800a57f10a2c854c4b0b50105b0e5cbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00218",
    "kind": "arxiv",
    "version": 1
  }
}