Pith Number

pith:4UVBPZIH

pith:2011:4UVBPZIHQUB3LEIP7LKPK436ZS

not attested not anchored not stored refs pending

Tangent cones to positive-(1,1) De Rham currents

Costante Bellettini

arxiv:1106.4776 v1 · 2011-06-23 · math.AP · 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{4UVBPZIHQUB3LEIP7LKPK436ZS}

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	2026-05-18T04:19:23.695053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e52a17e5078503b5910ffad4f5737eccad314904257a68554aac9b9f88e7477e

Aliases

arxiv: 1106.4776 · arxiv_version: 1106.4776v1 · doi: 10.48550/arxiv.1106.4776 · pith_short_12: 4UVBPZIHQUB3 · pith_short_16: 4UVBPZIHQUB3LEIP · pith_short_8: 4UVBPZIH

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/4UVBPZIHQUB3LEIP7LKPK436ZS \
  | 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: e52a17e5078503b5910ffad4f5737eccad314904257a68554aac9b9f88e7477e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c1539429ccfaae2a2798a76ed386e409b991d974a43053058c0f2d25b3ee5e3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-23T17:13:35Z",
    "title_canon_sha256": "38664c8472921d5ee2093c3668055b932d8632d064fc265a0e7e3e30991bf678"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4776",
    "kind": "arxiv",
    "version": 1
  }
}