Pith Number

pith:6YBQFWNA

pith:2011:6YBQFWNAPFJNRRWJDROSLRZU42

not attested not anchored not stored refs pending

Radford bases and Sch\"utzenberger's Factorizations

G\'erard H. E. Duchamp, Matthieu Deneufch\^atel, Vincel Hoang Ngoc Minh

arxiv:1111.6759 v2 · 2011-11-29 · 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{6YBQFWNAPFJNRRWJDROSLRZU42}

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	2026-05-18T04:07:19.178833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f60302d9a07952d8c6c91c5d25c734e68c3ac37d0d4099249e0943826cdafb21

Aliases

arxiv: 1111.6759 · arxiv_version: 1111.6759v2 · doi: 10.48550/arxiv.1111.6759 · pith_short_12: 6YBQFWNAPFJN · pith_short_16: 6YBQFWNAPFJNRRWJ · pith_short_8: 6YBQFWNA

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/6YBQFWNAPFJNRRWJDROSLRZU42 \
  | 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: f60302d9a07952d8c6c91c5d25c734e68c3ac37d0d4099249e0943826cdafb21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50ab86267fdeaf1319bdd4644f68ac0c232bb0dd7b10bdd7dc37c6b6d4be7d49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-29T10:44:31Z",
    "title_canon_sha256": "4a61f2e3fb7215dde005ee0cc06e577f91635bdea5d30d46848469ad099ea38a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6759",
    "kind": "arxiv",
    "version": 2
  }
}