Pith Number

pith:3OZTRBXE

pith:2018:3OZTRBXEX574W67RGH3LSECHCJ

not attested not anchored not stored refs pending

Symplectic invariance of rational surfaces on K\"{a}hler manifolds

Jason Michael Starr

arxiv:1803.06412 v3 · 2018-03-16 · 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{3OZTRBXEX574W67RGH3LSECHCJ}

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	2026-05-17T23:55:07.889756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbb33886e4bf7fcb7bf131f6b9104712424097e9e3129bc4a41b651d105bf2dd

Aliases

arxiv: 1803.06412 · arxiv_version: 1803.06412v3 · doi: 10.48550/arxiv.1803.06412 · pith_short_12: 3OZTRBXEX574 · pith_short_16: 3OZTRBXEX574W67R · pith_short_8: 3OZTRBXE

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/3OZTRBXEX574W67RGH3LSECHCJ \
  | 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: dbb33886e4bf7fcb7bf131f6b9104712424097e9e3129bc4a41b651d105bf2dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6687f1dd7715f520dfdb6bd3c8f51e8f37cb4bd32a980dab1fb2f0db1bb05e68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-16T21:55:46Z",
    "title_canon_sha256": "77a34a562d8e56f7197811d4f5ed600e5a498fb18be723394790549435a9084b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06412",
    "kind": "arxiv",
    "version": 3
  }
}