Pith Number

pith:U6ISTHBT

pith:2016:U6ISTHBTK2JUUUFZDN35OK3X4E

not attested not anchored not stored refs pending

Curvature of higher direct image sheaves and its application on negative-curvature criterion for the Weil-Petersson metric

Xu Wang

arxiv:1607.03265 v1 · 2016-07-12 · math.CV · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6ISTHBTK2JUUUFZDN35OK3X4E}

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	2026-05-18T01:11:09.415385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a791299c3356934a50b91b77d72b77e10904334a3ac32ea28ce258179450fe52

Aliases

arxiv: 1607.03265 · arxiv_version: 1607.03265v1 · doi: 10.48550/arxiv.1607.03265 · pith_short_12: U6ISTHBTK2JU · pith_short_16: U6ISTHBTK2JUUUFZ · pith_short_8: U6ISTHBT

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/U6ISTHBTK2JUUUFZDN35OK3X4E \
  | 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: a791299c3356934a50b91b77d72b77e10904334a3ac32ea28ce258179450fe52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fc9db69e2150d81c06acdaee9f6db41801eb0b1844eda71d740500e4e4db2c2",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-07-12T08:52:17Z",
    "title_canon_sha256": "4906fbd708882703671356d057b7a6530eb321a8725a70b65d9f35a650a21c65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03265",
    "kind": "arxiv",
    "version": 1
  }
}