Pith Number

pith:DLHR2BMC

pith:2007:DLHR2BMCNZUBMBZZ4IS4CD6XJR

not attested not anchored not stored refs pending

Divisorial Cohomology Vanishing on Toric Varieties

Markus Perling

arxiv:0711.4836 v2 · 2007-11-29 · 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{DLHR2BMCNZUBMBZZ4IS4CD6XJR}

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	2026-05-18T04:03:45.650743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1acf1d05826e68160739e225c10fd74c75d0b5395a0c606011cf5f8d5b246b80

Aliases

arxiv: 0711.4836 · arxiv_version: 0711.4836v2 · doi: 10.48550/arxiv.0711.4836 · pith_short_12: DLHR2BMCNZUB · pith_short_16: DLHR2BMCNZUBMBZZ · pith_short_8: DLHR2BMC

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/DLHR2BMCNZUBMBZZ4IS4CD6XJR \
  | 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: 1acf1d05826e68160739e225c10fd74c75d0b5395a0c606011cf5f8d5b246b80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3bac0ecb156f28e397b2323129c3cf5014ece604783778f842e69aed12788b1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-11-29T21:54:11Z",
    "title_canon_sha256": "3464e1cb1f7afc0006d592435f6b91d3a415b50a79c7fc3ed6239e7429226593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4836",
    "kind": "arxiv",
    "version": 2
  }
}