Pith Number

pith:4IWWYWCP

pith:2017:4IWWYWCPODFCS23L2JZNLORYBQ

not attested not anchored not stored refs pending

Polynomial bases: positivity and Schur multiplication

Dominic Searles

arxiv:1707.01172 v3 · 2017-07-04 · 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{4IWWYWCPODFCS23L2JZNLORYBQ}

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	2026-05-18T00:08:36.503577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e22d6c584f70ca296b6bd272d5ba380c1e98866c7335922a99a0579a405d0f3f

Aliases

arxiv: 1707.01172 · arxiv_version: 1707.01172v3 · doi: 10.48550/arxiv.1707.01172 · pith_short_12: 4IWWYWCPODFC · pith_short_16: 4IWWYWCPODFCS23L · pith_short_8: 4IWWYWCP

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/4IWWYWCPODFCS23L2JZNLORYBQ \
  | 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: e22d6c584f70ca296b6bd272d5ba380c1e98866c7335922a99a0579a405d0f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceda608187122e3ea5dfc26536d5639cfaf38b16ceed0a7f002ebb46c5929e3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-04T22:57:31Z",
    "title_canon_sha256": "16771b36176d0ca60dee2d04619639edfd56393c1b5e1a569ef8bfc13d3403a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01172",
    "kind": "arxiv",
    "version": 3
  }
}