Pith Number

pith:DPUFPING

pith:2008:DPUFPINGUDZTVTTCSYL6OVPYW4

not attested not anchored not stored refs pending

On non-vanishing of cohomologies of generalized Raynaud polarized surfaces

Yukihide Takayama

arxiv:0805.0524 v4 · 2008-05-05 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPUFPINGUDZTVTTCSYL6OVPYW4}

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	2026-05-18T03:15:34.754956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1be857a1a6a0f33ace629617e755f8b71a515bd3a65b8681e29180bf063783ad

Aliases

arxiv: 0805.0524 · arxiv_version: 0805.0524v4 · doi: 10.48550/arxiv.0805.0524 · pith_short_12: DPUFPINGUDZT · pith_short_16: DPUFPINGUDZTVTTC · pith_short_8: DPUFPING

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/DPUFPINGUDZTVTTCSYL6OVPYW4 \
  | 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: 1be857a1a6a0f33ace629617e755f8b71a515bd3a65b8681e29180bf063783ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12a68f779acbc3c771d53ace468af3f82adad2322e2fc56139371ba3bfc6c8a7",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-05-05T13:20:55Z",
    "title_canon_sha256": "b186a66f48d8d200a34e3b45fe96d15cbab0496f19e3fd37836b5adecffc9aa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.0524",
    "kind": "arxiv",
    "version": 4
  }
}