Pith Number

pith:X7UQDN3V

pith:2025:X7UQDN3VDG3FKK5BI4ZW44PAR7

not attested not anchored not stored refs pending

Divided difference operators for Hessenberg representations

Mathieu Guay-Paquet

arxiv:2507.05614 v1 · 2025-07-08 · math.CO · math.AG · math.AT · 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{X7UQDN3VDG3FKK5BI4ZW44PAR7}

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	2026-07-05T11:33:33.440817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe901b77519b6552ba147336e71e08fd5d6c3e6b8636a77715b99df9090e065

Aliases

arxiv: 2507.05614 · arxiv_version: 2507.05614v1 · doi: 10.48550/arxiv.2507.05614 · pith_short_12: X7UQDN3VDG3F · pith_short_16: X7UQDN3VDG3FKK5B · pith_short_8: X7UQDN3V

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/X7UQDN3VDG3FKK5BI4ZW44PAR7 \
  | 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: bfe901b77519b6552ba147336e71e08fd5d6c3e6b8636a77715b99df9090e065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78d684b2ab1555e2197475d6821f8ae294820d53c03c5111f80664046ac98903",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-08T02:50:35Z",
    "title_canon_sha256": "3578399814fb513fa8d09188d3617b73f15a998398052950fa9e21b50c82cbc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05614",
    "kind": "arxiv",
    "version": 1
  }
}