Pith Number

pith:AFLM2F6V

pith:2009:AFLM2F6VRNCKRNXUT7RH5ROLEH

not attested not anchored not stored refs pending

Embeddings of the braid groups of covering spaces, classification of the finite subgroups of the braid groups of the real projective plane, and linearity of braid groups of low-genus surfaces

Daciberg Lima Gon\c{c}alves (IME), John Guaschi (LMNO)

arxiv:0906.2766 v1 · 2009-06-15 · 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{AFLM2F6VRNCKRNXUT7RH5ROLEH}

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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	2026-05-18T03:34:16.596087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0156cd17d58b44a8b6f49fe27ec5cb21eb3432e614e0569a09e0f9234ae6592e

Aliases

arxiv: 0906.2766 · arxiv_version: 0906.2766v1 · doi: 10.48550/arxiv.0906.2766 · pith_short_12: AFLM2F6VRNCK · pith_short_16: AFLM2F6VRNCKRNXU · pith_short_8: AFLM2F6V

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/AFLM2F6VRNCKRNXUT7RH5ROLEH \
  | 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: 0156cd17d58b44a8b6f49fe27ec5cb21eb3432e614e0569a09e0f9234ae6592e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1620586266b43fd620de5a06841a054f3e0ae33cd5cd5e1eab8388de13c00bd",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-06-15T19:31:09Z",
    "title_canon_sha256": "0f360d90d1d3c7fdde26453bb8f90b827d65476578247d8bbe5c01ff71b6ce73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2766",
    "kind": "arxiv",
    "version": 1
  }
}