Pith Number

pith:WYOIBQ2H

pith:2010:WYOIBQ2H4LF72BSX5YIWAGZEBG

not attested not anchored not stored refs pending

Cohomology of toric line bundles via simplicial Alexander duality

Shin-Yao Jow

arxiv:1006.0780 v2 · 2010-06-04 · math.AG · math-ph · math.AC · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYOIBQ2H4LF72BSX5YIWAGZEBG}

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	2026-05-18T02:07:04.872826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b61c80c347e2cbfd0657ee11601b2409944ffc37296117f5cf4914b65b2666f6

Aliases

arxiv: 1006.0780 · arxiv_version: 1006.0780v2 · doi: 10.48550/arxiv.1006.0780 · pith_short_12: WYOIBQ2H4LF7 · pith_short_16: WYOIBQ2H4LF72BSX · pith_short_8: WYOIBQ2H

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/WYOIBQ2H4LF72BSX5YIWAGZEBG \
  | 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: b61c80c347e2cbfd0657ee11601b2409944ffc37296117f5cf4914b65b2666f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5fd34dcca9fbf62de3c32bfbaf8f3eecb32c62371ea5a2c9f4aeba4a1d55ecb",
    "cross_cats_sorted": [
      "math-ph",
      "math.AC",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-06-04T05:37:12Z",
    "title_canon_sha256": "677eb109190442bd75cd8ada41410e8664de3f018be5f8b122cfea8916c9ecf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0780",
    "kind": "arxiv",
    "version": 2
  }
}