Pith Number

pith:LANL73BF

pith:2014:LANL73BFGDHFZBPUGOBTROBVED

not attested not anchored not stored refs pending

The Bhattacharya function of complete monomial ideals in two variables

Hong Ngoc Binh, Ngo Viet Trung

arxiv:1403.1681 v1 · 2014-03-07 · 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{LANL73BFGDHFZBPUGOBTROBVED}

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	2026-05-18T02:56:52.848274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

581abfec2530ce5c85f4338338b83520deed49fe90863b520d09cb943ec20840

Aliases

arxiv: 1403.1681 · arxiv_version: 1403.1681v1 · doi: 10.48550/arxiv.1403.1681 · pith_short_12: LANL73BFGDHF · pith_short_16: LANL73BFGDHFZBPU · pith_short_8: LANL73BF

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/LANL73BFGDHFZBPUGOBTROBVED \
  | 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: 581abfec2530ce5c85f4338338b83520deed49fe90863b520d09cb943ec20840

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a53a356ac7834343acdcd0c3148cec6a40ac66f170a94f2032d0228dc0d30591",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-03-07T08:26:31Z",
    "title_canon_sha256": "276ad0812a9b7f656499b86855f90df30b85d0dc05d7b9587c3c57a4e82da7cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1681",
    "kind": "arxiv",
    "version": 1
  }
}