Pith Number

pith:VD6CTCZA

pith:2012:VD6CTCZAEPQLDLU6OMIAFXVTFQ

not attested not anchored not stored refs pending

Rational curves and special metrics on twistor spaces

Misha Verbitsky

arxiv:1210.6725 v1 · 2012-10-25 · math.DG · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VD6CTCZAEPQLDLU6OMIAFXVTFQ}

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	2026-05-18T02:38:17.592259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8fc298b2023e0b1ae9e731002deb32c1272b956c0ff88bd302c9276470717f3

Aliases

arxiv: 1210.6725 · arxiv_version: 1210.6725v1 · doi: 10.48550/arxiv.1210.6725 · pith_short_12: VD6CTCZAEPQL · pith_short_16: VD6CTCZAEPQLDLU6 · pith_short_8: VD6CTCZA

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/VD6CTCZAEPQLDLU6OMIAFXVTFQ \
  | 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: a8fc298b2023e0b1ae9e731002deb32c1272b956c0ff88bd302c9276470717f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c7c1ba0fc9788d89bfdd70c704248cf2d07249f1aaaa53e022b40308b451ff3",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-25T02:22:31Z",
    "title_canon_sha256": "358e9e97a68bed39c2a3b0fc0ca7d508dfbec00a4bc3049763d2622d00be91a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6725",
    "kind": "arxiv",
    "version": 1
  }
}