Pith Number

pith:WQCTETUR

pith:2015:WQCTETURLF2ASKQBQU2LQRMFZD

not attested not anchored not stored refs pending

Ulrich Schur bundles on flag varieties

Izzet Coskun, Jack Huizenga, Laura Costa, Matthew Woolf, Rosa Maria Mir\'o-Roig

arxiv:1512.06193 v1 · 2015-12-19 · math.AG · math.AC · 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{WQCTETURLF2ASKQBQU2LQRMFZD}

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	2026-05-18T01:24:04.930801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b405324e915974092a018534b84585c8e1cbeb41c92627b9fcd109f9dceb800c

Aliases

arxiv: 1512.06193 · arxiv_version: 1512.06193v1 · doi: 10.48550/arxiv.1512.06193 · pith_short_12: WQCTETURLF2A · pith_short_16: WQCTETURLF2ASKQB · pith_short_8: WQCTETUR

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/WQCTETURLF2ASKQBQU2LQRMFZD \
  | 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: b405324e915974092a018534b84585c8e1cbeb41c92627b9fcd109f9dceb800c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c960a6d24eb9f8a286ce8399d36c28dea3bc05f76767df7f61d17d74616491",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-19T05:38:30Z",
    "title_canon_sha256": "32e14b49879931f2c66c7161bf093a5ff8d8cee33e7cba3b8cd391121e371fd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06193",
    "kind": "arxiv",
    "version": 1
  }
}