Pith Number

pith:5PYS3GX2

pith:2015:5PYS3GX22AQ2PTWKFX5WK2NQTM

not attested not anchored not stored refs pending

Identities in character tables of $S_n$

Alon Regev, Amitai Regev, Doron Zeilberger

arxiv:1507.03499 v1 · 2015-07-13 · 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{5PYS3GX22AQ2PTWKFX5WK2NQTM}

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	2026-05-18T01:36:58.681201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf12d9afad021a7ceca2dfb6569b09b1aada3f89a4a4ea43c90dd1620e9ccc0

Aliases

arxiv: 1507.03499 · arxiv_version: 1507.03499v1 · doi: 10.48550/arxiv.1507.03499 · pith_short_12: 5PYS3GX22AQ2 · pith_short_16: 5PYS3GX22AQ2PTWK · pith_short_8: 5PYS3GX2

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/5PYS3GX22AQ2PTWKFX5WK2NQTM \
  | 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: ebf12d9afad021a7ceca2dfb6569b09b1aada3f89a4a4ea43c90dd1620e9ccc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffd662ac368656600bc4da4af915b87509f11c201048799ff30ee659de92d871",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-13T15:44:15Z",
    "title_canon_sha256": "fd812b5e786a7f7119166b4b955e9459e7b0f30a57d2ddccc08d15997ffd13af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03499",
    "kind": "arxiv",
    "version": 1
  }
}