Pith Number

pith:ZHAUXUJR

pith:2016:ZHAUXUJRCQO3IOAQWV4DHOP5R4

not attested not anchored not stored refs pending

Duality and deformations of stable Grothendieck polynomials

Damir Yeliussizov

arxiv:1601.01581 v2 · 2016-01-07 · 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{ZHAUXUJRCQO3IOAQWV4DHOP5R4}

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.

Cited by

1 paper in Pith

A Borodin-Okounkov-Geronimo-Case identity for tilted Toeplitz minors

Receipt and verification

First computed	2026-05-18T01:04:50.234717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c14bd131141db43810b57833b9fd8f23a76d046f1b55c8a03d8aed3c6c93d8

Aliases

arxiv: 1601.01581 · arxiv_version: 1601.01581v2 · doi: 10.48550/arxiv.1601.01581 · pith_short_12: ZHAUXUJRCQO3 · pith_short_16: ZHAUXUJRCQO3IOAQ · pith_short_8: ZHAUXUJR

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/ZHAUXUJRCQO3IOAQWV4DHOP5R4 \
  | 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: c9c14bd131141db43810b57833b9fd8f23a76d046f1b55c8a03d8aed3c6c93d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddc9a8945cc79055a313bdf4fff28767820ed3f19d6ca9bab17182adaeb37b7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-07T16:06:47Z",
    "title_canon_sha256": "fbdbf8a23f6296d07b0670c83d82a11b450528d5ec68b33ead1969f8e68bc91c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01581",
    "kind": "arxiv",
    "version": 2
  }
}