Pith Number

pith:NB3LFBF7

pith:2006:NB3LFBF7ALYCUWWGCRFNZEYCET

not attested not anchored not stored refs pending

The Euler multiplicity and addition-deletion theorems for multiarrangements

Hiroaki Terao, Max Wakefield, Takuro Abe

arxiv:math/0612739 v3 · 2006-12-23 · math.CV · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NB3LFBF7ALYCUWWGCRFNZEYCET}

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	2026-05-18T02:57:45.338002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6876b284bf02f02a5ac6144adc930224dc11d67cb0cbce6784962433af567f24

Aliases

arxiv: math/0612739 · arxiv_version: math/0612739v3 · doi: 10.48550/arxiv.math/0612739 · pith_short_12: NB3LFBF7ALYC · pith_short_16: NB3LFBF7ALYCUWWG · pith_short_8: NB3LFBF7

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/NB3LFBF7ALYCUWWGCRFNZEYCET \
  | 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: 6876b284bf02f02a5ac6144adc930224dc11d67cb0cbce6784962433af567f24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "356bb94b966f9e6ac50678fc07a50034ee23db32b06a491b24d67da6453384b1",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2006-12-23T09:34:12Z",
    "title_canon_sha256": "b9a440e433d1629a7455e494df6073b7cf8921ba40baaf222960898c362506a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612739",
    "kind": "arxiv",
    "version": 3
  }
}