Pith Number

pith:ZMGID2AR

pith:2013:ZMGID2ARJOPSJ5QS7QJV64ZTRU

not attested not anchored not stored refs pending

The Fundamental Theorem on Symmetric Polynomials: History's First Whiff of Galois Theory

Ben Blum-Smith, Samuel Coskey

arxiv:1301.7116 v5 · 2013-01-30 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMGID2ARJOPSJ5QS7QJV64ZTRU}

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.

Cited by

1 paper in Pith

An introduction to the symmetric group algebra

Receipt and verification

First computed	2026-07-05T01:41:45.859992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb0c81e8114b9f24f612fc135f73338d397d5271f778930f7a79b7671607cb61

Aliases

arxiv: 1301.7116 · arxiv_version: 1301.7116v5 · doi: 10.48550/arxiv.1301.7116 · pith_short_12: ZMGID2ARJOPS · pith_short_16: ZMGID2ARJOPSJ5QS · pith_short_8: ZMGID2AR

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/ZMGID2ARJOPSJ5QS7QJV64ZTRU \
  | 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: cb0c81e8114b9f24f612fc135f73338d397d5271f778930f7a79b7671607cb61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf4c73b61b69bb61dbe8066c6a7c44cc43094bb9326211d43204c349adb330d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-01-30T00:53:52Z",
    "title_canon_sha256": "d6835761339697339e977f8bec9760e42d6641b87fad7021306959e5db0bf8b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7116",
    "kind": "arxiv",
    "version": 5
  }
}