Pith Number

pith:HU4HDYT6

pith:2011:HU4HDYT6X2WNPMS5FHENZWSG2U

not attested not anchored not stored refs pending

Observations and Problems on k-abelian avoidability

Juhani Karhum\"aki, Mari Huova

arxiv:1104.4273 v1 · 2011-04-21 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HU4HDYT6X2WNPMS5FHENZWSG2U}

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	2026-05-18T02:22:01.511526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d3871e27ebeacd7b25d29c8dcda46d52f16918aff9ce13a13dccf07805efc52

Aliases

arxiv: 1104.4273 · arxiv_version: 1104.4273v1 · doi: 10.48550/arxiv.1104.4273 · pith_short_12: HU4HDYT6X2WN · pith_short_16: HU4HDYT6X2WNPMS5 · pith_short_8: HU4HDYT6

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/HU4HDYT6X2WNPMS5FHENZWSG2U \
  | 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: 3d3871e27ebeacd7b25d29c8dcda46d52f16918aff9ce13a13dccf07805efc52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aefdfa0659ba2d1607c2ba084387b56f534f5709c55c3f08685f04e80cf4f869",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-21T14:33:54Z",
    "title_canon_sha256": "0113efbe987557a1a4a240ac6cdd004cabf9225c6bb8c9266bbd3220d72884fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4273",
    "kind": "arxiv",
    "version": 1
  }
}