Pith Number

pith:NDESPHJH

pith:2009:NDESPHJHLL2DZZRRFIECDLEPYX

not attested not anchored not stored refs pending

A Self-Dual Hopf Algebra on Double Partially Ordered Sets

Christophe Reutenauer, Claudia Malvenuto

arxiv:0905.3508 v1 · 2009-05-21 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDESPHJHLL2DZZRRFIECDLEPYX}

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	2026-05-18T04:28:28.400649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c9279d275af43ce6312a0821ac8fc5d8bd0b3df2a79ec31340ba7f25bcca7b

Aliases

arxiv: 0905.3508 · arxiv_version: 0905.3508v1 · doi: 10.48550/arxiv.0905.3508 · pith_short_12: NDESPHJHLL2D · pith_short_16: NDESPHJHLL2DZZRR · pith_short_8: NDESPHJH

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/NDESPHJHLL2DZZRRFIECDLEPYX \
  | 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: 68c9279d275af43ce6312a0821ac8fc5d8bd0b3df2a79ec31340ba7f25bcca7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4546e3ca9386067172aa23e5cca767515a17f702d4a832e37cfa3b0659d2f3e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-05-21T15:09:21Z",
    "title_canon_sha256": "7fa1fcdc6b08ddffd8cc4e00c0a0ff4d24c34fee79a8c7969bc8ee8c711bb2fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3508",
    "kind": "arxiv",
    "version": 1
  }
}