Pith Number

pith:ISZS3ESK

pith:2010:ISZS3ESKWTLZ2DIJ2VC5PTCQPX

not attested not anchored not stored refs pending

The lower central and derived series of the braid groups of the projective plane

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

arxiv:1005.3906 v1 · 2010-05-21 · 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{ISZS3ESKWTLZ2DIJ2VC5PTCQPX}

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	2026-05-18T04:19:54.823051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44b32d924ab4d79d0d09d545d7cc507df2a3a70afa7151569f04b546dfb0a220

Aliases

arxiv: 1005.3906 · arxiv_version: 1005.3906v1 · doi: 10.48550/arxiv.1005.3906 · pith_short_12: ISZS3ESKWTLZ · pith_short_16: ISZS3ESKWTLZ2DIJ · pith_short_8: ISZS3ESK

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/ISZS3ESKWTLZ2DIJ2VC5PTCQPX \
  | 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: 44b32d924ab4d79d0d09d545d7cc507df2a3a70afa7151569f04b546dfb0a220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "097e30b33e1813bcd11bde17b7e6785a05c7ee11f2a99e7c6bbf630ced30c981",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-05-21T08:21:57Z",
    "title_canon_sha256": "55ceecae9b4e83c3ce7dd8db857a0d7da6e2427fd3ecc23153e9457d3b4dfe8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3906",
    "kind": "arxiv",
    "version": 1
  }
}