Pith Number

pith:377WWQHB

pith:2017:377WWQHBKFTYS7P3O725BCK7K7

not attested not anchored not stored refs pending

A short proof of Hironaka's Theorem on freeness of some Hecke modules

Avraham Aizenbud, Eitan Sayag

arxiv:1709.08214 v1 · 2017-09-24 · 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{377WWQHBKFTYS7P3O725BCK7K7}

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	2026-05-18T00:34:26.096553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfff6b40e15167897dfb77f5d0895f57ff32700c4d1b0834d3ac5699e57459cd

Aliases

arxiv: 1709.08214 · arxiv_version: 1709.08214v1 · doi: 10.48550/arxiv.1709.08214 · pith_short_12: 377WWQHBKFTY · pith_short_16: 377WWQHBKFTYS7P3 · pith_short_8: 377WWQHB

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/377WWQHBKFTYS7P3O725BCK7K7 \
  | 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: dfff6b40e15167897dfb77f5d0895f57ff32700c4d1b0834d3ac5699e57459cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ee66a463fe3d635402af1c40cf6a963ef9b6d0bb4800a3f2e7a3e6381e8bac6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-24T15:49:38Z",
    "title_canon_sha256": "c0d0ed8b773f768f060e54c6eaee18fa16e921c6dd8e433421448d07486d6ee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08214",
    "kind": "arxiv",
    "version": 1
  }
}