Pith Number

pith:KSVKOYBU

pith:2017:KSVKOYBUMTBMNAA35OTDVKT6I3

not attested not anchored not stored refs pending

Schubert polynomials as integer point transforms of generalized permutahedra

Alex Fink, Avery St. Dizier, Karola M\'esz\'aros

arxiv:1706.04935 v2 · 2017-06-15 · 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{KSVKOYBUMTBMNAA35OTDVKT6I3}

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	2026-05-18T00:42:16.969623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54aaa7603464c2c6801beba63aaa7e46ebf63d76e2fb503179a76d6616d21134

Aliases

arxiv: 1706.04935 · arxiv_version: 1706.04935v2 · doi: 10.48550/arxiv.1706.04935 · pith_short_12: KSVKOYBUMTBM · pith_short_16: KSVKOYBUMTBMNAA3 · pith_short_8: KSVKOYBU

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/KSVKOYBUMTBMNAA35OTDVKT6I3 \
  | 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: 54aaa7603464c2c6801beba63aaa7e46ebf63d76e2fb503179a76d6616d21134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8392508f4474e860b59c1da2e10ce9efef04e31f9210f2813c0e767bc906f117",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-15T15:44:48Z",
    "title_canon_sha256": "a4e1d076ee9c75015f0e8914bdea5849ecccc7025851d464147e7b5d5549b4da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04935",
    "kind": "arxiv",
    "version": 2
  }
}