Pith Number

pith:F3BCIFY3

pith:2007:F3BCIFY3ALPYSO6YXUXUSEXRH5

not attested not anchored not stored refs pending

Classification of the virtually cyclic subgroups of the pure braid groups of the projective plane

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

arxiv:0710.5940 v1 · 2007-10-31 · math.GR · 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{F3BCIFY3ALPYSO6YXUXUSEXRH5}

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	2026-05-18T01:22:31.167111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec224171b02df893bd8bd2f4912f13f5ccb14aa6077b7af30ae7e9710b5a3df

Aliases

arxiv: 0710.5940 · arxiv_version: 0710.5940v1 · doi: 10.48550/arxiv.0710.5940 · pith_short_12: F3BCIFY3ALPY · pith_short_16: F3BCIFY3ALPYSO6Y · pith_short_8: F3BCIFY3

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/F3BCIFY3ALPYSO6YXUXUSEXRH5 \
  | 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: 2ec224171b02df893bd8bd2f4912f13f5ccb14aa6077b7af30ae7e9710b5a3df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efd9b8ffce74d363c68e031d501f8d92b64638bfbcee58e5aef92e6dbed47838",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-10-31T19:46:55Z",
    "title_canon_sha256": "f9f28b4519ddc8b05ca7a0ea3f8be439a6ead23a340a16b6ae0e3538756a39bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5940",
    "kind": "arxiv",
    "version": 1
  }
}