Pith Number

pith:X54O7MVL

pith:2018:X54O7MVLZCLJFIGAY6N4OHLJUG

not attested not anchored not stored refs pending

Asymptotics of principal evaluations of Schubert polynomials for layered permutations

Alejandro H. Morales, Greta Panova, Igor Pak

arxiv:1805.04341 v1 · 2018-05-11 · 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{X54O7MVLZCLJFIGAY6N4OHLJUG}

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	2026-05-18T00:16:12.770627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf78efb2abc89692a0c0c79bc71d69a1933524c92a343d7f10c1654fb54a210c

Aliases

arxiv: 1805.04341 · arxiv_version: 1805.04341v1 · doi: 10.48550/arxiv.1805.04341 · pith_short_12: X54O7MVLZCLJ · pith_short_16: X54O7MVLZCLJFIGA · pith_short_8: X54O7MVL

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/X54O7MVLZCLJFIGAY6N4OHLJUG \
  | 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: bf78efb2abc89692a0c0c79bc71d69a1933524c92a343d7f10c1654fb54a210c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b96a260780152a54af45561f1a72697074ac833310aa3f1ea6e262601a590e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-11T11:49:19Z",
    "title_canon_sha256": "7e99cacaa85a150c64104e520a1841ad545f7a31a0f38f9d46ca85cda07ae9ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04341",
    "kind": "arxiv",
    "version": 1
  }
}