Pith Number

pith:I5W4C5VN

pith:2018:I5W4C5VNW6DFYIHFXUUATWSPDW

not attested not anchored not stored refs pending

A Newton-Girard Formula for Monomial Symmetric Polynomials

Azadeh Rafizadeh, Samuel Chamberlin

arxiv:1811.06491 v1 · 2018-11-15 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5W4C5VNW6DFYIHFXUUATWSPDW}

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	2026-05-18T00:00:37.591742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

476dc176adb7865c20e5bd2809da4f1db03bc48255bd5cadf3088ae208f68812

Aliases

arxiv: 1811.06491 · arxiv_version: 1811.06491v1 · doi: 10.48550/arxiv.1811.06491 · pith_short_12: I5W4C5VNW6DF · pith_short_16: I5W4C5VNW6DFYIHF · pith_short_8: I5W4C5VN

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/I5W4C5VNW6DFYIHFXUUATWSPDW \
  | 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: 476dc176adb7865c20e5bd2809da4f1db03bc48255bd5cadf3088ae208f68812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f688590b43cab0149aa71674da6ad412282eb7855169af7d316f1f157827235",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-11-15T17:36:27Z",
    "title_canon_sha256": "b7b47783829579d6dc4153ba9a932ca67ebee197f7b81608bd3c7ba401454431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06491",
    "kind": "arxiv",
    "version": 1
  }
}