Pith Number

pith:S6OJRJ5Q

pith:2010:S6OJRJ5QXKINEUHJFZLENJ2LJL

not attested not anchored not stored refs pending

Motivic Milnor fibers over complete intersection varieties and their virtual Betti numbers

Alexander Esterov, Kiyoshi Takeuchi

arxiv:1009.0230 v4 · 2010-09-01 · 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{S6OJRJ5QXKINEUHJFZLENJ2LJL}

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	2026-05-18T00:24:54.662763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

979c98a7b0ba90d250e92e5646a74b4ae06b6305c04f2b29787142b29d462993

Aliases

arxiv: 1009.0230 · arxiv_version: 1009.0230v4 · doi: 10.48550/arxiv.1009.0230 · pith_short_12: S6OJRJ5QXKIN · pith_short_16: S6OJRJ5QXKINEUHJ · pith_short_8: S6OJRJ5Q

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/S6OJRJ5QXKINEUHJFZLENJ2LJL \
  | 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: 979c98a7b0ba90d250e92e5646a74b4ae06b6305c04f2b29787142b29d462993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bfd622264ecdcdf460e83db79c102c34649b619ba256da707bcce2b6262099c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-01T17:44:27Z",
    "title_canon_sha256": "58913a53f6b85c6ce6b4562686c2127c58de06d08ca9360c134a89fa7b666de4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0230",
    "kind": "arxiv",
    "version": 4
  }
}