Pith Number

pith:Q6IY4HW4

pith:2026:Q6IY4HW4WMREY2Z3AESUPDKBFD

not attested not anchored not stored refs pending

Schubert Calculus and uniform property $\Gamma$

Andrew S. Toms

arxiv:2606.12188 v1 · 2026-06-10 · math.OA · 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{Q6IY4HW4WMREY2Z3AESUPDKBFD}

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	2026-06-11T01:10:53.060190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87918e1edcb3224c6b3b0125478d4128ca2b1cbbf89bbc92711f8397bd570e62

Aliases

arxiv: 2606.12188 · arxiv_version: 2606.12188v1 · doi: 10.48550/arxiv.2606.12188 · pith_short_12: Q6IY4HW4WMRE · pith_short_16: Q6IY4HW4WMREY2Z3 · pith_short_8: Q6IY4HW4

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/Q6IY4HW4WMREY2Z3AESUPDKBFD \
  | 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: 87918e1edcb3224c6b3b0125478d4128ca2b1cbbf89bbc92711f8397bd570e62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6cefd9969a319b6b19439abed1f656aaf289968911bcc3a2d964f38c1c8ad0b",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-06-10T15:12:03Z",
    "title_canon_sha256": "39d3ad869c18842b717c7d050a8e527c28363a7058d2b448931164a714d9c1f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12188",
    "kind": "arxiv",
    "version": 1
  }
}