Pith Number

pith:D4XVB6FC

pith:2013:D4XVB6FCG7MLINA5PM65K5Q2HJ

not attested not anchored not stored refs pending

Schubert calculus and torsion explosion

Geordie Williamson

arxiv:1309.5055 v3 · 2013-09-19 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4XVB6FCG7MLINA5PM65K5Q2HJ}

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

Idempotents, traces, and dimensions in Hecke categories

Receipt and verification

First computed	2026-05-18T01:04:41.900578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2f50f8a237d8b4341d7b3dd5761a3a73128505c996b438ac83db5513d25913

Aliases

arxiv: 1309.5055 · arxiv_version: 1309.5055v3 · doi: 10.48550/arxiv.1309.5055 · pith_short_12: D4XVB6FCG7ML · pith_short_16: D4XVB6FCG7MLINA5 · pith_short_8: D4XVB6FC

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/D4XVB6FCG7MLINA5PM65K5Q2HJ \
  | 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: 1f2f50f8a237d8b4341d7b3dd5761a3a73128505c996b438ac83db5513d25913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e0a8b41659b12f967dd0905249a01400eadc16462fc10360979452a6682d3e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-09-19T17:21:06Z",
    "title_canon_sha256": "b93e1e18461e3119ea8762cbb250f6de097674a0df868afa2338c5be96434fd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5055",
    "kind": "arxiv",
    "version": 3
  }
}