Pith Number

pith:V4LLBXLV

pith:2016:V4LLBXLVQ5AXG6JG3GZDAIDX4D

not attested not anchored not stored refs pending

Remarks on the nonvanishing of cohomology groups for perverse sheaves on abelian varieties

Rainer Weissauer

arxiv:1612.01500 v1 · 2016-12-05 · 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{V4LLBXLVQ5AXG6JG3GZDAIDX4D}

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	2026-05-18T00:55:52.526746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af16b0dd758741737926d9b2302077e0cef90216fd4d8ce1281ed82668d7b27b

Aliases

arxiv: 1612.01500 · arxiv_version: 1612.01500v1 · doi: 10.48550/arxiv.1612.01500 · pith_short_12: V4LLBXLVQ5AX · pith_short_16: V4LLBXLVQ5AXG6JG · pith_short_8: V4LLBXLV

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/V4LLBXLVQ5AXG6JG3GZDAIDX4D \
  | 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: af16b0dd758741737926d9b2302077e0cef90216fd4d8ce1281ed82668d7b27b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f21492cd399bf2232cf92923434627e532b84f2ff61a3588d0c53a66cbd6cb60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-05T20:14:39Z",
    "title_canon_sha256": "bf1eb3dffddb33e9ef7cd7140b28359b352356df62ba4143d2189ffe42a021e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01500",
    "kind": "arxiv",
    "version": 1
  }
}