Pith Number

pith:7ULYAL2H

pith:2010:7ULYAL2H76HCHQ3ZPFIAERCRFJ

not attested not anchored not stored refs pending

Positivity on subvarieties and vanishing of higher cohomology

Alex Kuronya

arxiv:1012.1102 v1 · 2010-12-06 · 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{7ULYAL2H76HCHQ3ZPFIAERCRFJ}

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	2026-05-18T04:34:01.823257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd17802f47ff8e23c37979500244512a5f49cbc92fb79a344603e31e309aecb4

Aliases

arxiv: 1012.1102 · arxiv_version: 1012.1102v1 · doi: 10.48550/arxiv.1012.1102 · pith_short_12: 7ULYAL2H76HC · pith_short_16: 7ULYAL2H76HCHQ3Z · pith_short_8: 7ULYAL2H

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/7ULYAL2H76HCHQ3ZPFIAERCRFJ \
  | 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: fd17802f47ff8e23c37979500244512a5f49cbc92fb79a344603e31e309aecb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3befd03b49969eee38e640e51067469ebfef70c5a82d60f92490018f8c8d58f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-06T09:34:10Z",
    "title_canon_sha256": "ebd697d57c81785f55ebb64ac99fab557057c9361e5dbc8271926b10bdd669f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1102",
    "kind": "arxiv",
    "version": 1
  }
}