Pith Number

pith:P36VRQ4F

pith:2011:P36VRQ4FSFYD5MYO4HLBQR7OZN

not attested not anchored not stored refs pending

On the nullity distribution of the second fundamental form of a submanifold of a space form

Francisco Vittone

arxiv:1103.0918 v3 · 2011-03-04 · 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{P36VRQ4FSFYD5MYO4HLBQR7OZN}

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	2026-05-18T04:24:27.319384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7efd58c38591703eb30ee1d61847eecb73272900e178e06328c2822dd888c76a

Aliases

arxiv: 1103.0918 · arxiv_version: 1103.0918v3 · doi: 10.48550/arxiv.1103.0918 · pith_short_12: P36VRQ4FSFYD · pith_short_16: P36VRQ4FSFYD5MYO · pith_short_8: P36VRQ4F

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/P36VRQ4FSFYD5MYO4HLBQR7OZN \
  | 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: 7efd58c38591703eb30ee1d61847eecb73272900e178e06328c2822dd888c76a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f54eb77f9a761f1ed409fd047b958d348569878609cef3a87f030ad10edb49f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-04T15:09:28Z",
    "title_canon_sha256": "8e3b373e7b61ec5d6a900006ca3554dc1d5f3bf43dd5fced5c541bf80e5b3215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0918",
    "kind": "arxiv",
    "version": 3
  }
}