Pith Number

pith:MY4EOWXN

pith:2007:MY4EOWXNYIRK4ECT4GZ2UJHZPH

not attested not anchored not stored refs pending

On the Descent Algebra of Type $D$

N. Bergeron, S.J. van Willigenburg

arxiv:0706.2711 v1 · 2007-06-19 · 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{MY4EOWXNYIRK4ECT4GZ2UJHZPH}

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	2026-05-18T01:00:10.784083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6638475aedc222ae1053e1b3aa24f979d6b8e1537b2cf952e81828375d7a9356

Aliases

arxiv: 0706.2711 · arxiv_version: 0706.2711v1 · doi: 10.48550/arxiv.0706.2711 · pith_short_12: MY4EOWXNYIRK · pith_short_16: MY4EOWXNYIRK4ECT · pith_short_8: MY4EOWXN

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/MY4EOWXNYIRK4ECT4GZ2UJHZPH \
  | 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: 6638475aedc222ae1053e1b3aa24f979d6b8e1537b2cf952e81828375d7a9356

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1314cd4d91e7ef25de88e966ffccaf2d62332e48c17290efa49db215d72978a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-06-19T04:55:40Z",
    "title_canon_sha256": "0b0a323915f20144800f0d7b32328e4662a31cf5c66321a0c90f1c24e2eeb35f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2711",
    "kind": "arxiv",
    "version": 1
  }
}