Pith Number

pith:PEQHC62C

pith:2009:PEQHC62CE45UA5GRG2IRN3I2KQ

not attested not anchored not stored refs pending

Null Curves in $\mathbb{C}^3$ and Calabi-Yau Conjectures

Antonio Alarcon, Francisco J. Lopez

arxiv:0912.2847 v3 · 2009-12-15 · 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{PEQHC62CE45UA5GRG2IRN3I2KQ}

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	2026-05-18T04:04:15.458514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7920717b42273b4074d1369116ed1a5430932b3d6ce8baf6053af3abaef440ff

Aliases

arxiv: 0912.2847 · arxiv_version: 0912.2847v3 · doi: 10.48550/arxiv.0912.2847 · pith_short_12: PEQHC62CE45U · pith_short_16: PEQHC62CE45UA5GR · pith_short_8: PEQHC62C

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/PEQHC62CE45UA5GRG2IRN3I2KQ \
  | 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: 7920717b42273b4074d1369116ed1a5430932b3d6ce8baf6053af3abaef440ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "142b483579d338b09b6b3d178a0f28bc0f0991b927d917a1b2ca11850cb24518",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-15T11:08:49Z",
    "title_canon_sha256": "a8e30b7cf2ad93c29b6079efb68db1169b453c313b40328d90385488e6646280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2847",
    "kind": "arxiv",
    "version": 3
  }
}