Pith Number

pith:HMGN3N3N

pith:2021:HMGN3N3NQIIFD5IGJS34EVBHWS

not attested not anchored not stored refs pending

The conjugacy problem and virtually cyclic subgroups in the Artin braid group quotient $B_n/[P_n,P_n]$

Oscar Ocampo, Paulo Cesar Cerqueira dos Santos J\'unior

arxiv:2109.00390 v1 · 2021-09-01 · 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{HMGN3N3NQIIFD5IGJS34EVBHWS}

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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	2026-07-05T03:10:46.120043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b0cddb76d821051f5064cb7c25427b4beda383a9cebfe7bd65aaf15cd8d1f30

Aliases

arxiv: 2109.00390 · arxiv_version: 2109.00390v1 · doi: 10.48550/arxiv.2109.00390 · pith_short_12: HMGN3N3NQIIF · pith_short_16: HMGN3N3NQIIFD5IG · pith_short_8: HMGN3N3N

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/HMGN3N3NQIIFD5IGJS34EVBHWS \
  | 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: 3b0cddb76d821051f5064cb7c25427b4beda383a9cebfe7bd65aaf15cd8d1f30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83d9035cad5091dec3e1d0b6a323372cf0e03c3841c21fa8742ed9afe353b89f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-09-01T13:53:32Z",
    "title_canon_sha256": "ce4ea999f3794b70e78614098c8931b40049beea12e79aae8c240d5fda062015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.00390",
    "kind": "arxiv",
    "version": 1
  }
}