Pith Number

pith:POVLUJJ5

pith:2013:POVLUJJ5E5G5CLEQUNZE7SGSOO

not attested not anchored not stored refs pending

Regularity of area minimizing currents II: center manifold

Camillo De Lellis, Emanuele Spadaro

arxiv:1306.1191 v5 · 2013-06-05 · 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{POVLUJJ5E5G5CLEQUNZE7SGSOO}

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	2026-05-18T01:31:30.428332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7baaba253d274dd12c90a3724fc8d273943c6edbd3859657556cc4e06249d8fb

Aliases

arxiv: 1306.1191 · arxiv_version: 1306.1191v5 · doi: 10.48550/arxiv.1306.1191 · pith_short_12: POVLUJJ5E5G5 · pith_short_16: POVLUJJ5E5G5CLEQ · pith_short_8: POVLUJJ5

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/POVLUJJ5E5G5CLEQUNZE7SGSOO \
  | 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: 7baaba253d274dd12c90a3724fc8d273943c6edbd3859657556cc4e06249d8fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56884ffd614b2b423ac27f25eadbad2cfe441d9f0c1b31150b4013ea168ffcef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-05T18:01:02Z",
    "title_canon_sha256": "a09bdb0fa6c7fece9545777dc9fe3891794f9a0a5285c74322e9a47f4809c96b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1191",
    "kind": "arxiv",
    "version": 5
  }
}