Pith Number

pith:5EJXJESH

pith:2018:5EJXJESHG2QIHHDWCQRFGREKAR

not attested not anchored not stored refs pending

$L^2$-harmonic $p$-forms on submanifolds with finite total curvature

Jundong Zhou

arxiv:1803.11468 v1 · 2018-03-29 · 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{5EJXJESHG2QIHHDWCQRFGREKAR}

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	2026-05-18T00:19:43.492581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e91374924736a0839c76142253448a046af5993e2a6f800803f200460b976322

Aliases

arxiv: 1803.11468 · arxiv_version: 1803.11468v1 · doi: 10.48550/arxiv.1803.11468 · pith_short_12: 5EJXJESHG2QI · pith_short_16: 5EJXJESHG2QIHHDW · pith_short_8: 5EJXJESH

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/5EJXJESHG2QIHHDWCQRFGREKAR \
  | 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: e91374924736a0839c76142253448a046af5993e2a6f800803f200460b976322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0b94eb3d7139e7cca45df3e72529ed5a9f1efb0cf88db3cd421ce0c3982d937",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-03-29T08:15:30Z",
    "title_canon_sha256": "a3f8239f1077a5fed8630c38d246d039a3722950d64e779b975254aa22e970b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11468",
    "kind": "arxiv",
    "version": 1
  }
}