Pith Number

pith:WW6KHE74

pith:2014:WW6KHE74ITBUZQ7BCMVKDN6XY4

not attested not anchored not stored refs pending

Vanishing of the higher direct images of the structure sheaf

Andre Chatzistamatiou, Kay R\"ulling

arxiv:1404.1827 v2 · 2014-04-07 · 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{WW6KHE74ITBUZQ7BCMVKDN6XY4}

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	2026-05-18T01:09:49.905056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5bca393fc44c34cc3e1132aa1b7d7c722086b40be3c43a1c8e660aba42c8e90

Aliases

arxiv: 1404.1827 · arxiv_version: 1404.1827v2 · doi: 10.48550/arxiv.1404.1827 · pith_short_12: WW6KHE74ITBU · pith_short_16: WW6KHE74ITBUZQ7B · pith_short_8: WW6KHE74

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/WW6KHE74ITBUZQ7BCMVKDN6XY4 \
  | 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: b5bca393fc44c34cc3e1132aa1b7d7c722086b40be3c43a1c8e660aba42c8e90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4dcd10c6f0ed3db6d70d91919c16f4dfb0bd7df607e6aebc6b8d879a078c552",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-07T16:03:41Z",
    "title_canon_sha256": "7b0cc2479a8e0a51b8e100bd4c623c68eca9abb09a85b639dda91762a899ec5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1827",
    "kind": "arxiv",
    "version": 2
  }
}