Pith Number

pith:FZVSNQXB

pith:2019:FZVSNQXBXZ4LAZNEFPTUZR65WR

not attested not anchored not stored refs pending

The Area Blow Up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals

Antonio De Rosa, Guido De Philippis, Jonas Hirsch

arxiv:1901.03514 v1 · 2019-01-11 · 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{FZVSNQXBXZ4LAZNEFPTUZR65WR}

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	2026-05-17T23:56:31.041450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e6b26c2e1be78b065a42be74cc7ddb44d4d8013d22a744cf5ba0feb746035e8

Aliases

arxiv: 1901.03514 · arxiv_version: 1901.03514v1 · doi: 10.48550/arxiv.1901.03514 · pith_short_12: FZVSNQXBXZ4L · pith_short_16: FZVSNQXBXZ4LAZNE · pith_short_8: FZVSNQXB

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/FZVSNQXBXZ4LAZNEFPTUZR65WR \
  | 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: 2e6b26c2e1be78b065a42be74cc7ddb44d4d8013d22a744cf5ba0feb746035e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8ec8857a9943d4b09b6555a223b439e0c6e853eb1935dfbaa9fc2f8948404cf",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-11T09:00:00Z",
    "title_canon_sha256": "8b498813fe8bc76d833feef2f9ee2409958ebc1582538e2705fb9aaf7f81a2e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03514",
    "kind": "arxiv",
    "version": 1
  }
}