Pith Number

pith:ISWH4LNH

pith:2015:ISWH4LNHLL4T3YJGP57XVRT3IO

not attested not anchored not stored refs pending

Truncated modules and linear presentations of vector bundles

Ada Boralevi, Daniele Faenzi, Paolo Lella

arxiv:1505.04204 v3 · 2015-05-15 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISWH4LNHLL4T3YJGP57XVRT3IO}

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	2026-05-18T00:51:28.667600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44ac7e2da75af93de1267f7f7ac67b4395c12d4111fae39f6567de26a951c6b0

Aliases

arxiv: 1505.04204 · arxiv_version: 1505.04204v3 · doi: 10.48550/arxiv.1505.04204 · pith_short_12: ISWH4LNHLL4T · pith_short_16: ISWH4LNHLL4T3YJG · pith_short_8: ISWH4LNH

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/ISWH4LNHLL4T3YJGP57XVRT3IO \
  | 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: 44ac7e2da75af93de1267f7f7ac67b4395c12d4111fae39f6567de26a951c6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c50351f829fd4887df9a61d0c6c462593a076c144c1348c5089cc3974b122e7d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-15T21:11:21Z",
    "title_canon_sha256": "e50bd00498de191d4f54d8d195644292cbbf8e4f9a23bf473d54285380456d9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04204",
    "kind": "arxiv",
    "version": 3
  }
}