Pith Number

pith:ZJVMLNQY

pith:2010:ZJVMLNQYZUV52GSLXN62WLNJOL

not attested not anchored not stored refs pending

Basic results on braid groups

Juan Gonzalez-Meneses

arxiv:1010.0321 v1 · 2010-10-02 · 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{ZJVMLNQYZUV52GSLXN62WLNJOL}

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	2026-05-18T04:39:58.645357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca6ac5b618cd2bdd1a4bbb7dab2da972c4d11389c2c056286ebc70c59f60b925

Aliases

arxiv: 1010.0321 · arxiv_version: 1010.0321v1 · doi: 10.48550/arxiv.1010.0321 · pith_short_12: ZJVMLNQYZUV5 · pith_short_16: ZJVMLNQYZUV52GSL · pith_short_8: ZJVMLNQY

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/ZJVMLNQYZUV52GSLXN62WLNJOL \
  | 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: ca6ac5b618cd2bdd1a4bbb7dab2da972c4d11389c2c056286ebc70c59f60b925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2966466c91bb0082c3523585a9ada4ccc26487d67f367ac4de032423689373e8",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-02T10:31:02Z",
    "title_canon_sha256": "9b5d3c88114fc3121c080d77ba92236b759b3057bf3531ba0fd24375a8725edd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0321",
    "kind": "arxiv",
    "version": 1
  }
}