Pith Number

pith:FOUI2RWY

pith:2010:FOUI2RWYKE4V2BD5PWWDE72LGJ

not attested not anchored not stored refs pending

Relative symmetric polynomials and money change problem

Mohammad Shahryari

arxiv:1012.2987 v1 · 2010-12-14 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOUI2RWYKE4V2BD5PWWDE72LGJ}

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	2026-05-18T04:33:18.912176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ba88d46d851395d047d7dac327f4b3275ac4604ae0288f279b7661d5e7be597

Aliases

arxiv: 1012.2987 · arxiv_version: 1012.2987v1 · doi: 10.48550/arxiv.1012.2987 · pith_short_12: FOUI2RWYKE4V · pith_short_16: FOUI2RWYKE4V2BD5 · pith_short_8: FOUI2RWY

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/FOUI2RWYKE4V2BD5PWWDE72LGJ \
  | 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: 2ba88d46d851395d047d7dac327f4b3275ac4604ae0288f279b7661d5e7be597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5256d210534015892ddef977902e628db19f207fbb27e29315d0d2b784d6bd1",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-14T10:35:59Z",
    "title_canon_sha256": "6d619a3a48e0287e21857539b5b88977465b1c78cd732e89d6d16820612dc31f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2987",
    "kind": "arxiv",
    "version": 1
  }
}