Pith Number

pith:Y52IIBPR

pith:2015:Y52IIBPRIP2RRJJCH6GMZ5HXV3

not attested not anchored not stored refs pending

Obstructions to combinatorial formulas for plethysm

Mateusz Michalek, Thomas Kahle

arxiv:1507.07131 v3 · 2015-07-25 · math.RT · 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{Y52IIBPRIP2RRJJCH6GMZ5HXV3}

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	2026-05-18T00:23:59.335142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7748405f143f518a5223f8cccf4f7aeec3b36302913008c465549d9f8939522

Aliases

arxiv: 1507.07131 · arxiv_version: 1507.07131v3 · doi: 10.48550/arxiv.1507.07131 · pith_short_12: Y52IIBPRIP2R · pith_short_16: Y52IIBPRIP2RRJJC · pith_short_8: Y52IIBPR

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/Y52IIBPRIP2RRJJCH6GMZ5HXV3 \
  | 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: c7748405f143f518a5223f8cccf4f7aeec3b36302913008c465549d9f8939522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57d5acd5052d6a5ac749a4ca14af4ea763fe84fce32042f01dec96a09f38a197",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-07-25T20:21:23Z",
    "title_canon_sha256": "530aea2baadca96bf16f94f72d7a31848526105daf57a5afff15356799807569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07131",
    "kind": "arxiv",
    "version": 3
  }
}