Pith Number

pith:CEP33IPQ

pith:2024:CEP33IPQGOYANGAOAHM6KGQDER

not attested not anchored not stored refs pending

Energy Identity for Stationary Harmonic Maps

Aaron Naber, Daniele Valtorta

arxiv:2401.02242 v3 · 2024-01-04 · 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{CEP33IPQGOYANGAOAHM6KGQDER}

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.

Cited by

1 paper in Pith

Energy identity for stationary biharmonic mappings into spheres in supercritical dimensions

Receipt and verification

First computed	2026-06-19T16:12:44.059960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

111fbda1f033b006980e01d9e51a03244f1491ccd22ad1702641498e4947efa4

Aliases

arxiv: 2401.02242 · arxiv_version: 2401.02242v3 · doi: 10.48550/arxiv.2401.02242 · pith_short_12: CEP33IPQGOYA · pith_short_16: CEP33IPQGOYANGAO · pith_short_8: CEP33IPQ

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/CEP33IPQGOYANGAOAHM6KGQDER \
  | 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: 111fbda1f033b006980e01d9e51a03244f1491ccd22ad1702641498e4947efa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b3c685a3f9621e58025bd66b744590a7b1c33f75d98d254fc85c1f20baf6e0c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-01-04T12:53:37Z",
    "title_canon_sha256": "cad3581e67e42b5c964ee3747877dbef24284bcc6db0b286bb90a21043704c9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.02242",
    "kind": "arxiv",
    "version": 3
  }
}