Pith Number

pith:32HC3QVQ

pith:2016:32HC3QVQNCHSD573VCQ6V2SQ5X

not attested not anchored not stored refs pending

Embeddings and the (virtual) cohomological dimension of the braid and mapping class groups of surfaces

Daciberg Lima Gon\c{c}alves (IME-USP), John Guaschi (LMNO, Miguel Maldonado, NU), UNICAEN

arxiv:1610.03288 v1 · 2016-10-11 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32HC3QVQNCHSD573VCQ6V2SQ5X}

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	2026-05-18T01:02:31.893476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8e2dc2b0688f21f7fba8a1eaea50edf1012ae43955279813d57fa79a1a44c7

Aliases

arxiv: 1610.03288 · arxiv_version: 1610.03288v1 · doi: 10.48550/arxiv.1610.03288 · pith_short_12: 32HC3QVQNCHS · pith_short_16: 32HC3QVQNCHSD573 · pith_short_8: 32HC3QVQ

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/32HC3QVQNCHSD573VCQ6V2SQ5X \
  | 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: de8e2dc2b0688f21f7fba8a1eaea50edf1012ae43955279813d57fa79a1a44c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08e168093ca4c7ffe346cc0ecd343a681b5994c8c5757e6b7819b071ee1d1035",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-11T11:57:18Z",
    "title_canon_sha256": "785a8b6c80488947fd8c7a438b2c397e13fbb70bd49fccd2991058dda9e3d454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03288",
    "kind": "arxiv",
    "version": 1
  }
}