Pith Number

pith:HNUPEESO

pith:2015:HNUPEESO2PHARXLYSRWCREVFWU

not attested not anchored not stored refs pending

Asymptotic properties of free monoid morphisms

Emilie Charlier, Julien Leroy, Michel Rigo

arxiv:1507.00206 v2 · 2015-07-01 · math.CO · cs.DM · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNUPEESO2PHARXLYSRWCREVFWU}

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	2026-05-18T01:17:05.302553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b68f2124ed3ce08dd78946c2892a5b537042e509e587c11f1371a0adf1e4ff1

Aliases

arxiv: 1507.00206 · arxiv_version: 1507.00206v2 · doi: 10.48550/arxiv.1507.00206 · pith_short_12: HNUPEESO2PHA · pith_short_16: HNUPEESO2PHARXLY · pith_short_8: HNUPEESO

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/HNUPEESO2PHARXLYSRWCREVFWU \
  | 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: 3b68f2124ed3ce08dd78946c2892a5b537042e509e587c11f1371a0adf1e4ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4743cefb5194ebadfd3b0a86de0c12ba6f6f3ae87a70941de6ba025e42f604b2",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-01T12:29:42Z",
    "title_canon_sha256": "eaa96799c0b0ba60de1270718a61f55dd94b09f7c21a871efb36eaa65625d99b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00206",
    "kind": "arxiv",
    "version": 2
  }
}