Pith Number

pith:VSSZMWOX

pith:2011:VSSZMWOX2IUECD6VZD3PP6BGLN

not attested not anchored not stored refs pending

Estimations of the particular periodicity in case of the extremal periods in Shirshov's Height theorem

Mikhail Kharitonov

arxiv:1108.6295 v2 · 2011-08-31 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSSZMWOX2IUECD6VZD3PP6BGLN}

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	2026-05-18T04:11:08.201924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca59659d7d228410fd5c8f6f7f8265b62852389840f6012c71a3131680934e0

Aliases

arxiv: 1108.6295 · arxiv_version: 1108.6295v2 · doi: 10.48550/arxiv.1108.6295 · pith_short_12: VSSZMWOX2IUE · pith_short_16: VSSZMWOX2IUECD6V · pith_short_8: VSSZMWOX

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/VSSZMWOX2IUECD6VZD3PP6BGLN \
  | 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: aca59659d7d228410fd5c8f6f7f8265b62852389840f6012c71a3131680934e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edd1ac76865c62a6713ab057191e9db08c3d3a1510b2291876c6a781825db7dd",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-31T17:35:22Z",
    "title_canon_sha256": "b726e71e647ed6db3d86e9e57bc08db6f00296f59e5d97fb439f5110e3271518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6295",
    "kind": "arxiv",
    "version": 2
  }
}