Pith Number

pith:2KYV2BSX

pith:2006:2KYV2BSXFYHOWAZYI3F4SROF2C

not attested not anchored not stored refs pending

Contact Calabi-Yau manifolds and Special Legendrian submanifolds

Adriano Tomassini, Luigi Vezzoni

arxiv:math/0612232 v2 · 2006-12-09 · 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{2KYV2BSXFYHOWAZYI3F4SROF2C}

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	2026-05-18T02:51:13.798116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2b15d06572e0eeb033846cbc945c5d0bdc13a9ef219d85a47be5ae4ec15acc6

Aliases

arxiv: math/0612232 · arxiv_version: math/0612232v2 · doi: 10.48550/arxiv.math/0612232 · pith_short_12: 2KYV2BSXFYHO · pith_short_16: 2KYV2BSXFYHOWAZY · pith_short_8: 2KYV2BSX

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/2KYV2BSXFYHOWAZYI3F4SROF2C \
  | 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: d2b15d06572e0eeb033846cbc945c5d0bdc13a9ef219d85a47be5ae4ec15acc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64ce8bce3830ce9cfb2f3285f4a94df05158aec915013be0b2faa52d7b4af2a6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-12-09T14:58:02Z",
    "title_canon_sha256": "e43cc065d86559c3ac75acc3684eb54e87acbc053b48bdfdf9cef032089d7eb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612232",
    "kind": "arxiv",
    "version": 2
  }
}