Pith Number

pith:AGI3ZVBE

pith:2020:AGI3ZVBEEU5X7RPDJ7PHM3WTCU

not attested not anchored not stored refs pending

Projective manifolds whose tangent bundle contains a strictly nef subsheaf

Jie Liu, Wenhao Ou, Xiaokui Yang

arxiv:2004.08507 v1 · 2020-04-18 · math.AG · math.CV · 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{AGI3ZVBEEU5X7RPDJ7PHM3WTCU}

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	2026-07-05T00:56:06.536797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0191bcd424253b7fc5e34fde766ed31522c30c630661ad072fcc98feb7de225b

Aliases

arxiv: 2004.08507 · arxiv_version: 2004.08507v1 · doi: 10.48550/arxiv.2004.08507 · pith_short_12: AGI3ZVBEEU5X · pith_short_16: AGI3ZVBEEU5X7RPD · pith_short_8: AGI3ZVBE

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/AGI3ZVBEEU5X7RPDJ7PHM3WTCU \
  | 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: 0191bcd424253b7fc5e34fde766ed31522c30c630661ad072fcc98feb7de225b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f60c94256330a23ff619649d36d9e259d625f179c82e01217382fc256e828423",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-04-18T02:14:40Z",
    "title_canon_sha256": "e627bef0d81d54b34e22a1d01af7af7fabf29bb17ca89a61850731aae991ecb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.08507",
    "kind": "arxiv",
    "version": 1
  }
}