Pith Number

pith:QXDA5BDS

pith:2013:QXDA5BDS3DE6BVLNGHVXFIXTEG

not attested not anchored not stored refs pending

Positivity of Thom polynomials and Schubert calculus

Piotr Pragacz

arxiv:1304.2573 v4 · 2013-04-09 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXDA5BDS3DE6BVLNGHVXFIXTEG}

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	2026-05-18T01:02:57.319719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85c60e8472d8c9e0d56d31eb72a2f321af957bf8359117e5b42f738e7345719d

Aliases

arxiv: 1304.2573 · arxiv_version: 1304.2573v4 · doi: 10.48550/arxiv.1304.2573 · pith_short_12: QXDA5BDS3DE6 · pith_short_16: QXDA5BDS3DE6BVLN · pith_short_8: QXDA5BDS

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/QXDA5BDS3DE6BVLNGHVXFIXTEG \
  | 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: 85c60e8472d8c9e0d56d31eb72a2f321af957bf8359117e5b42f738e7345719d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee63d143d963aca3d615a0fc5f2750f28b116bd759d059602f111ac4c9f6df94",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-09T13:13:24Z",
    "title_canon_sha256": "1eeb58f416734986b42cd2ab7761cd9f9d34307c4acc176477066f9b0857b2d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2573",
    "kind": "arxiv",
    "version": 4
  }
}