Pith Number

pith:LDEKH4XP

pith:2010:LDEKH4XPZHH4IFP3HFWXJIAWSN

not attested not anchored not stored refs pending

Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine

Matthias Aschenbrenner

arxiv:1009.5518 v3 · 2010-09-28 · math.CO · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDEKH4XPZHH4IFP3HFWXJIAWSN}

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	2026-05-18T04:08:44.784970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58c8a3f2efc9cfc415fb396d74a016935a862427e85eac82826fd0dfc66d247d

Aliases

arxiv: 1009.5518 · arxiv_version: 1009.5518v3 · doi: 10.48550/arxiv.1009.5518 · pith_short_12: LDEKH4XPZHH4 · pith_short_16: LDEKH4XPZHH4IFP3 · pith_short_8: LDEKH4XP

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/LDEKH4XPZHH4IFP3HFWXJIAWSN \
  | 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: 58c8a3f2efc9cfc415fb396d74a016935a862427e85eac82826fd0dfc66d247d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73e2a4af7958b88b3c382e706a17085f77a76953d76ef16e1a6b846dc410f412",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-28T10:18:58Z",
    "title_canon_sha256": "91fcc19846c235468c8501c6d8595ec6bc9d5e87364ac35400eaa4f613c44a60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5518",
    "kind": "arxiv",
    "version": 3
  }
}