Pith Number

pith:2A4M3J6Z

pith:2018:2A4M3J6ZC3AD5P2VIREX7AMJZW

not attested not anchored not stored refs pending

A Timed Version of the Plactic Monoid

Amritanshu Prasad

arxiv:1806.04393 v2 · 2018-06-12 · math.CO · cs.DM · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2A4M3J6ZC3AD5P2VIREX7AMJZW}

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	2026-05-17T23:46:04.120707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d038cda7d916c03ebf5544497f8189cd8c2469dab57b9d2fb2544fdac0367761

Aliases

arxiv: 1806.04393 · arxiv_version: 1806.04393v2 · doi: 10.48550/arxiv.1806.04393 · pith_short_12: 2A4M3J6ZC3AD · pith_short_16: 2A4M3J6ZC3AD5P2V · pith_short_8: 2A4M3J6Z

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/2A4M3J6ZC3AD5P2VIREX7AMJZW \
  | 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: d038cda7d916c03ebf5544497f8189cd8c2469dab57b9d2fb2544fdac0367761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23eaf567dc988228f492605c8e67dde747bb0af299b7130d4a4639debe3be6b2",
    "cross_cats_sorted": [
      "cs.DM",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-12T08:46:25Z",
    "title_canon_sha256": "124ef51aa1b21b9f2755bda660c3b6718b55010c3f5fc44145204c9bbbe7cc03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04393",
    "kind": "arxiv",
    "version": 2
  }
}