Pith Number

pith:Z67CN2FO

pith:2015:Z67CN2FOT7NE5ZFLWDPJRERIFP

not attested not anchored not stored refs pending

The curve cone of almost complex 4-manifolds

Weiyi Zhang

arxiv:1501.06744 v4 · 2015-01-27 · math.SG · 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{Z67CN2FOT7NE5ZFLWDPJRERIFP}

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	2026-05-18T00:47:59.460094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfbe26e8ae9fda4ee4abb0de9892282bed73ce5ff21cce0e07a78a9cb85f5709

Aliases

arxiv: 1501.06744 · arxiv_version: 1501.06744v4 · doi: 10.48550/arxiv.1501.06744 · pith_short_12: Z67CN2FOT7NE · pith_short_16: Z67CN2FOT7NE5ZFL · pith_short_8: Z67CN2FO

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/Z67CN2FOT7NE5ZFLWDPJRERIFP \
  | 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: cfbe26e8ae9fda4ee4abb0de9892282bed73ce5ff21cce0e07a78a9cb85f5709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc0b18c3545d237a449ae36bf65829d5011bdbc6102616f4ed3ffb135bca2d54",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-01-27T11:05:18Z",
    "title_canon_sha256": "cfed5b771b81e2ca198757c7cfd9b2f816473d5beb935e7d4e319d30bf7fb7ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06744",
    "kind": "arxiv",
    "version": 4
  }
}