Pith Number

pith:C2VSN3QJ

pith:2025:C2VSN3QJ2EWQIOK2VTUTVAU4CQ

not attested not anchored not stored refs pending

Asymptotically maximal Schubitopes

Jack Chen-An Chou, Linus Setiabrata

arxiv:2512.04053 v2 · 2025-12-03 · 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{C2VSN3QJ2EWQIOK2VTUTVAU4CQ}

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

Principal specializations of Grothendieck polynomials

Receipt and verification

First computed	2026-06-19T16:11:18.002443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16ab26ee09d12d04395aace93a829c143aea794d19ec5c57450fa163b7026b98

Aliases

arxiv: 2512.04053 · arxiv_version: 2512.04053v2 · doi: 10.48550/arxiv.2512.04053 · pith_short_12: C2VSN3QJ2EWQ · pith_short_16: C2VSN3QJ2EWQIOK2 · pith_short_8: C2VSN3QJ

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/C2VSN3QJ2EWQIOK2VTUTVAU4CQ \
  | 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: 16ab26ee09d12d04395aace93a829c143aea794d19ec5c57450fa163b7026b98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cff905dc50fc4182d70887a633151ba6e88775976e304875a037ef0d2542adb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-12-03T18:36:13Z",
    "title_canon_sha256": "a02a3561728684c48bc2059d72c1ee315492da01ae197db438993fb354d96f92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.04053",
    "kind": "arxiv",
    "version": 2
  }
}