Pith Number

pith:JG3XK3GF

pith:2007:JG3XK3GFBTKEL5VZ6MU7C42D65

not attested not anchored not stored refs pending

Contact metric $(\kappa,\mu)$-spaces as bi-Legendrian manifolds

Beniamino Cappelletti Montano, Luigia Di Terlizzi

arxiv:0706.0707 v3 · 2007-06-05 · 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{JG3XK3GFBTKEL5VZ6MU7C42D65}

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	2026-05-18T03:20:57.509279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b7756cc50cd445f6b9f329f17343f75daf591f33f683d5b2fe370c03b78842

Aliases

arxiv: 0706.0707 · arxiv_version: 0706.0707v3 · doi: 10.48550/arxiv.0706.0707 · pith_short_12: JG3XK3GFBTKE · pith_short_16: JG3XK3GFBTKEL5VZ · pith_short_8: JG3XK3GF

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/JG3XK3GFBTKEL5VZ6MU7C42D65 \
  | 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: 49b7756cc50cd445f6b9f329f17343f75daf591f33f683d5b2fe370c03b78842

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c32b91d055e073d00d2315e9786c0678f84a64c6a6e454ec1427f19a361c416",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-06-05T17:14:09Z",
    "title_canon_sha256": "58478a474d5856a413289afc4212aeb958515da49791dcdc221905eba6e7941b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0707",
    "kind": "arxiv",
    "version": 3
  }
}