Pith Number

pith:TKDUZE76

pith:2015:TKDUZE764G4RYITIGECKGZ2JSI

not attested not anchored not stored refs pending

ACM sheaves of pure rank two on reducible hyperquadrics

Edoardo Ballico, Joan Pons-Llopis, Sukmoon Huh

arxiv:1508.01632 v3 · 2015-08-07 · math.AG · math.AC · 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{TKDUZE764G4RYITIGECKGZ2JSI}

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	2026-05-18T00:39:23.294710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a874c93fee1b91c22683104a36749922146f38bc80db7443fa22ef134bf0806

Aliases

arxiv: 1508.01632 · arxiv_version: 1508.01632v3 · doi: 10.48550/arxiv.1508.01632 · pith_short_12: TKDUZE764G4R · pith_short_16: TKDUZE764G4RYITI · pith_short_8: TKDUZE76

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/TKDUZE764G4RYITIGECKGZ2JSI \
  | 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: 9a874c93fee1b91c22683104a36749922146f38bc80db7443fa22ef134bf0806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dc99019d0b77e0d6657f10e2c5f4d9c834b5906bc34c028c0a78ffb1c6d6e20",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-07T07:45:32Z",
    "title_canon_sha256": "85b49cde40d6a851ceda48f97028ec8b6c18d81e37bad50dee1d67fa7a5b9be3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01632",
    "kind": "arxiv",
    "version": 3
  }
}