Pith Number

pith:KLXAEU6Q

pith:2015:KLXAEU6QF66FQQ3FFGX5P3WOBU

not attested not anchored not stored refs pending

Rectifiable-Reifenberg and the Regularity of Stationary and Minimizing Harmonic Maps

Aaron Naber, Daniele Valtorta

arxiv:1504.02043 v5 · 2015-04-08 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLXAEU6QF66FQQ3FFGX5P3WOBU}

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	2026-05-18T00:13:48.623173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52ee0253d02fbc58436529afd7eece0d158b1390ff80e53bfeef1f99696597f0

Aliases

arxiv: 1504.02043 · arxiv_version: 1504.02043v5 · doi: 10.48550/arxiv.1504.02043 · pith_short_12: KLXAEU6QF66F · pith_short_16: KLXAEU6QF66FQQ3F · pith_short_8: KLXAEU6Q

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/KLXAEU6QF66FQQ3FFGX5P3WOBU \
  | 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: 52ee0253d02fbc58436529afd7eece0d158b1390ff80e53bfeef1f99696597f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d59be93f3ee82b2f64b9c6afd9f832bf9997a43fe6ef9afcb9a5511d051d3fe",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-08T17:32:34Z",
    "title_canon_sha256": "660472f9548fa3dce96545d308acd2359d38ce944763b621d9d4e336591b2051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02043",
    "kind": "arxiv",
    "version": 5
  }
}