Pith Number

pith:FK3UHUAT

pith:2015:FK3UHUATUWNYINIICXE5ZQ2SE4

not attested not anchored not stored refs pending

On the vanishing of weight one Koszul cohomology of abelian varieties

Luigi Lombardi, Marian Aprodu

arxiv:1506.08973 v1 · 2015-06-30 · 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{FK3UHUATUWNYINIICXE5ZQ2SE4}

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	2026-05-18T01:10:38.534533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ab743d013a59b84350815c9dcc35227321e2c84803dd453068effdbf6797579

Aliases

arxiv: 1506.08973 · arxiv_version: 1506.08973v1 · doi: 10.48550/arxiv.1506.08973 · pith_short_12: FK3UHUATUWNY · pith_short_16: FK3UHUATUWNYINII · pith_short_8: FK3UHUAT

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/FK3UHUATUWNYINIICXE5ZQ2SE4 \
  | 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: 2ab743d013a59b84350815c9dcc35227321e2c84803dd453068effdbf6797579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "350b4e8ce708a091dc9b102614f79d443f23dd20aad6bf2f88c8d7f2448ed6fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-06-30T07:43:02Z",
    "title_canon_sha256": "eb11b9fc1af0d50d7ebc3570f4b433c1cd0d28b81069dd895289dde0fa170cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08973",
    "kind": "arxiv",
    "version": 1
  }
}