Pith Number

pith:LZLBAP3B

pith:2014:LZLBAP3B74OLGXJKRK5CPHVK2K

not attested not anchored not stored refs pending

Special tight closure

Adela Vraciu, Craig Huneke

arxiv:1409.0442 v1 · 2014-09-01 · 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{LZLBAP3B74OLGXJKRK5CPHVK2K}

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	2026-05-18T02:43:52.749067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e56103f61ff1cb35d2a8aba279eaad2b8bfa971b06e7852bfe9958e11c4b809

Aliases

arxiv: 1409.0442 · arxiv_version: 1409.0442v1 · doi: 10.48550/arxiv.1409.0442 · pith_short_12: LZLBAP3B74OL · pith_short_16: LZLBAP3B74OLGXJK · pith_short_8: LZLBAP3B

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/LZLBAP3B74OLGXJKRK5CPHVK2K \
  | 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: 5e56103f61ff1cb35d2a8aba279eaad2b8bfa971b06e7852bfe9958e11c4b809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b639e107ce2793fab34992500b29aa490b29032aa24701fa0bb2fb8462321fef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-01T15:00:54Z",
    "title_canon_sha256": "2811a64dcbf30e63d38a25886f700aa0453dafefcb0ff6dd868dac3f3cbb1e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0442",
    "kind": "arxiv",
    "version": 1
  }
}