Pith Number

pith:RPIMA2T5

pith:2011:RPIMA2T5XN7DFVMJRU5DVL2W4R

not attested not anchored not stored refs pending

Vanishing Theorems for constructible Sheaves on Abelian Varieties

Rainer Weissauer, Thomas Kr\"amer

arxiv:1111.4947 v6 · 2011-11-21 · 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{RPIMA2T5XN7DFVMJRU5DVL2W4R}

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	2026-05-18T01:31:30.546226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bd0c06a7dbb7e32d5898d3a3aaf56e45ce73c90d9776845ffce10906c65b434

Aliases

arxiv: 1111.4947 · arxiv_version: 1111.4947v6 · doi: 10.48550/arxiv.1111.4947 · pith_short_12: RPIMA2T5XN7D · pith_short_16: RPIMA2T5XN7DFVMJ · pith_short_8: RPIMA2T5

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/RPIMA2T5XN7DFVMJRU5DVL2W4R \
  | 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: 8bd0c06a7dbb7e32d5898d3a3aaf56e45ce73c90d9776845ffce10906c65b434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1dee41335a10a3f24abfcbd4c40cbac6b26f4ab422d6406b0c84875d01c17e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-21T17:36:29Z",
    "title_canon_sha256": "061a5b84936f5e8bb897672e35d860000ee90732e712c372559fe42ff195d497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4947",
    "kind": "arxiv",
    "version": 6
  }
}