Pith Number

pith:MZZHRKAM

pith:2014:MZZHRKAM7EHGIYWFK77MMEWODU

not attested not anchored not stored refs pending

Cohomology Rings of Plactic Monoid Algebra via Groubner-Shirshov Basis

Viktor Lopatkin

arxiv:1411.5464 v7 · 2014-11-20 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZZHRKAM7EHGIYWFK77MMEWODU}

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	2026-05-18T02:18:32.896483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

667278a80cf90e6462c557fec612ce1d098ee53082e32b7e90338cab3f52b09c

Aliases

arxiv: 1411.5464 · arxiv_version: 1411.5464v7 · doi: 10.48550/arxiv.1411.5464 · pith_short_12: MZZHRKAM7EHG · pith_short_16: MZZHRKAM7EHGIYWF · pith_short_8: MZZHRKAM

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/MZZHRKAM7EHGIYWFK77MMEWODU \
  | 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: 667278a80cf90e6462c557fec612ce1d098ee53082e32b7e90338cab3f52b09c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08cff50c9ca1e951d2323cf7d223c7e3dd13407c449dc5f54bca453f042a7969",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-11-20T07:53:18Z",
    "title_canon_sha256": "ea9525c1babfb1e8d028d52b1d086c6d52a167fc5b374e841bf1f989d015977d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5464",
    "kind": "arxiv",
    "version": 7
  }
}