Pith Number

pith:JJIFXDTY

pith:2018:JJIFXDTY5GPS65GTYXKZB6VOAE

not attested not anchored not stored refs pending

On lexicographic representatives in braid monoids

Juan Gonz\'alez-Meneses, Ram\'on Flores

arxiv:1808.02755 v2 · 2018-08-08 · math.GR · math.CO · 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{JJIFXDTY5GPS65GTYXKZB6VOAE}

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	2026-05-18T00:08:25.310458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a505b8e78e99f2f74d3c5d590faae0123253a923b6792166761d49df891f8dc

Aliases

arxiv: 1808.02755 · arxiv_version: 1808.02755v2 · doi: 10.48550/arxiv.1808.02755 · pith_short_12: JJIFXDTY5GPS · pith_short_16: JJIFXDTY5GPS65GT · pith_short_8: JJIFXDTY

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/JJIFXDTY5GPS65GTYXKZB6VOAE \
  | 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: 4a505b8e78e99f2f74d3c5d590faae0123253a923b6792166761d49df891f8dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a40bc4d69a76571f2143543f59cbf3c78ed9fe09617b246884ab5aa427cc7a24",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-08-08T13:17:19Z",
    "title_canon_sha256": "f7bca1ee1d915dbf8e4410afcb909f4e8d03e410e3e8e40f2d1d47d401ad063c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02755",
    "kind": "arxiv",
    "version": 2
  }
}