Pith Number

pith:NBXKTQ3B

pith:2010:NBXKTQ3BNPOVAUA2X6NI3XKZ4H

not attested not anchored not stored refs pending

On the local zeta functions and the b-functions of certain hyperplane arrangements

Morihiko Saito, Nero Budur, Sergey Yuzvinsky

arxiv:1002.0629 v4 · 2010-02-03 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBXKTQ3BNPOVAUA2X6NI3XKZ4H}

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	2026-05-18T02:58:02.402278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

686ea9c3616bdd50501abf9a8ddd59e1dbf15b087d34badbfcb3fafc9ff3b63a

Aliases

arxiv: 1002.0629 · arxiv_version: 1002.0629v4 · doi: 10.48550/arxiv.1002.0629 · pith_short_12: NBXKTQ3BNPOV · pith_short_16: NBXKTQ3BNPOVAUA2 · pith_short_8: NBXKTQ3B

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/NBXKTQ3BNPOVAUA2X6NI3XKZ4H \
  | 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: 686ea9c3616bdd50501abf9a8ddd59e1dbf15b087d34badbfcb3fafc9ff3b63a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e32f5474231b3e17c7e41d24359816ad5512591cefb180675c46fc7195e5d5ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-02-03T02:00:01Z",
    "title_canon_sha256": "004bc0a2d8ec725afdf01601b218ede3956a16c8ba33b82c2652cab491cc2aa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0629",
    "kind": "arxiv",
    "version": 4
  }
}