Pith Number

pith:54AQ3BWX

pith:2015:54AQ3BWXFUS6XM22FOPHA5HZKB

not attested not anchored not stored refs pending

On projective K\"ahler manifolds of partially positive curvature and rational connectedness

Bun Wong, Gordon Heier

arxiv:1509.02149 v1 · 2015-09-07 · 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{54AQ3BWXFUS6XM22FOPHA5HZKB}

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	2026-05-18T01:33:49.623767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef010d86d72d25ebb35a2b9e7074f9504c915857aeb80850e39e7cf14a005d0b

Aliases

arxiv: 1509.02149 · arxiv_version: 1509.02149v1 · doi: 10.48550/arxiv.1509.02149 · pith_short_12: 54AQ3BWXFUS6 · pith_short_16: 54AQ3BWXFUS6XM22 · pith_short_8: 54AQ3BWX

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/54AQ3BWXFUS6XM22FOPHA5HZKB \
  | 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: ef010d86d72d25ebb35a2b9e7074f9504c915857aeb80850e39e7cf14a005d0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e7db34819bae7319f25f476ec075f1a331d6532789f3b5055311a6f28d47a9f",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-07T19:34:53Z",
    "title_canon_sha256": "9240b473065a929a78988ff460f39fcf97b3bf9f199903d6494ee07ae3bc8714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02149",
    "kind": "arxiv",
    "version": 1
  }
}