Pith Number

pith:I75A53UC

pith:2018:I75A53UCEVIDK57WNJBCOZMN7Z

not attested not anchored not stored refs pending

Positivity, rational Schur functions, Blaschke factors, and other related results in the Grassmann algebra

Daniel Alpay, Daniele C. Struppa, Ismael L. Paiva

arxiv:1810.02843 v1 · 2018-10-05 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I75A53UCEVIDK57WNJBCOZMN7Z}

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	2026-05-17T23:54:07.066573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47fa0eee8225503577f66a4227658dfe59b1b1740ed2829ad42bc3e17b48f5d6

Aliases

arxiv: 1810.02843 · arxiv_version: 1810.02843v1 · doi: 10.48550/arxiv.1810.02843 · pith_short_12: I75A53UCEVID · pith_short_16: I75A53UCEVIDK57W · pith_short_8: I75A53UC

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/I75A53UCEVIDK57WNJBCOZMN7Z \
  | 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: 47fa0eee8225503577f66a4227658dfe59b1b1740ed2829ad42bc3e17b48f5d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36b77e7b5fcf84e929495b8cf43caddfef128d3806af6ca58f124046cc185cd7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-05T18:36:26Z",
    "title_canon_sha256": "baae2c630a8bf32cb0d20d94560e3f8513929cb72fe144cf582bfd0ebca8a7ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02843",
    "kind": "arxiv",
    "version": 1
  }
}