Pith Number

pith:MXTU25X6

pith:2011:MXTU25X64MTTK2EEOCSNVY52BF

not attested not anchored not stored refs pending

Languages invariant under more symmetries: overlapping factors versus palindromic richness

Edita Pelantov\'a, \v{S}t\v{e}p\'an Starosta

arxiv:1103.4051 v3 · 2011-03-21 · 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{MXTU25X64MTTK2EEOCSNVY52BF}

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	2026-05-18T02:25:12.235557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e74d76fee32735688470a4dae3ba094cd7e10bfa0d78e876ab883eb601817d

Aliases

arxiv: 1103.4051 · arxiv_version: 1103.4051v3 · doi: 10.48550/arxiv.1103.4051 · pith_short_12: MXTU25X64MTT · pith_short_16: MXTU25X64MTTK2EE · pith_short_8: MXTU25X6

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/MXTU25X64MTTK2EEOCSNVY52BF \
  | 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: 65e74d76fee32735688470a4dae3ba094cd7e10bfa0d78e876ab883eb601817d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "725d0a08e5560a143910eb9a2d7e7d110cc60d0748495a732d758dc5194bebaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-21T15:27:24Z",
    "title_canon_sha256": "11d5c449030d5d0fcc4378be50ac5ba9187e2956a0ab2858998b0084b5bd0537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4051",
    "kind": "arxiv",
    "version": 3
  }
}