Pith Number

pith:EN7KIHUV

pith:2013:EN7KIHUVXWSSVSZOH3UXVTF3VW

not attested not anchored not stored refs pending

Regularity of area minimizing currents I: gradient L^p estimates

Camillo De Lellis, Emanuele Spadaro

arxiv:1306.1195 v4 · 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{EN7KIHUVXWSSVSZOH3UXVTF3VW}

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	2026-05-18T02:43:16.539972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

237ea41e95bda52acb2e3ee97accbbad9b86344f91af99d243c98a023a5be735

Aliases

arxiv: 1306.1195 · arxiv_version: 1306.1195v4 · doi: 10.48550/arxiv.1306.1195 · pith_short_12: EN7KIHUVXWSS · pith_short_16: EN7KIHUVXWSSVSZO · pith_short_8: EN7KIHUV

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/EN7KIHUVXWSSVSZOH3UXVTF3VW \
  | 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: 237ea41e95bda52acb2e3ee97accbbad9b86344f91af99d243c98a023a5be735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "894b10904d47e386342afb2c6c36dd9a5931425d342d91c543a9acc7bb65d807",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-05T18:03:37Z",
    "title_canon_sha256": "65ecbe05e541e39e198ff752714e81352ef793cbc3c9292d81e8f74df2e5e9f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1195",
    "kind": "arxiv",
    "version": 4
  }
}