Pith Number

pith:3YPXEFWQ

pith:2001:3YPXEFWQQXA4JNNYUAWAHXHAN5

not attested not anchored not stored refs pending

Grothendieck classes of quiver varieties

Anders Skovsted Buch

arxiv:math/0104029 v1 · 2001-04-02 · math.AG · math.CO · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YPXEFWQQXA4JNNYUAWAHXHAN5}

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

2 papers in Pith

Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials

Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials

Receipt and verification

First computed	2026-07-04T14:35:08.915735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de1f7216d085c1c4b5b8a02c03dce06f70c3a33705a8ff6ffcab0f5760f38790

Aliases

arxiv: math/0104029 · arxiv_version: math/0104029v1 · doi: 10.48550/arxiv.math/0104029 · pith_short_12: 3YPXEFWQQXA4 · pith_short_16: 3YPXEFWQQXA4JNNY · pith_short_8: 3YPXEFWQ

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/3YPXEFWQQXA4JNNYUAWAHXHAN5 \
  | 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: de1f7216d085c1c4b5b8a02c03dce06f70c3a33705a8ff6ffcab0f5760f38790

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6028f6be0a0eceec8a5f0bd4ff5e8267b7cb291d4c76c94e533721718cd10d18",
    "cross_cats_sorted": [
      "math.CO",
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-04-02T21:03:52Z",
    "title_canon_sha256": "fad06962e6343a571cd7d2db364b5e0b313651dd67eecb7ed20ec3fa07606016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0104029",
    "kind": "arxiv",
    "version": 1
  }
}