Pith Number

pith:V43PFFNM

pith:2008:V43PFFNM2EVU5QVHVDHXTCHZCL

not attested not anchored not stored refs pending

Computing inclusions of Schur modules

Steven V Sam

arxiv:0810.4666 v2 · 2008-10-26 · math.AC · 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{V43PFFNM2EVU5QVHVDHXTCHZCL}

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	2026-05-18T01:37:22.013357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af36f295acd12b4ec2a7a8cf7988f912ff672dd67c7cf216a2fa47fd746559de

Aliases

arxiv: 0810.4666 · arxiv_version: 0810.4666v2 · doi: 10.48550/arxiv.0810.4666 · pith_short_12: V43PFFNM2EVU · pith_short_16: V43PFFNM2EVU5QVH · pith_short_8: V43PFFNM

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/V43PFFNM2EVU5QVHVDHXTCHZCL \
  | 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: af36f295acd12b4ec2a7a8cf7988f912ff672dd67c7cf216a2fa47fd746559de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "733d854a47ff643ba938dbd60d492e534e0e1eba5737cd3141be14086cd4d6db",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-10-26T06:23:31Z",
    "title_canon_sha256": "55b6e9cc3aa1e86d46ffcfcd8a022ea84cdca6c8fa45d07fb9a0fc8054278a30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4666",
    "kind": "arxiv",
    "version": 2
  }
}