Pith Number

pith:3NB45CAM

pith:2017:3NB45CAMAQ46L2U7KPUZ6YWXM5

not attested not anchored not stored refs pending

Vanishing properties of $p$-harmonic $\ell$-forms on Riemannian manifolds

Nguyen Thac Dung, Pham Trong Tien

arxiv:1704.04925 v1 · 2017-04-17 · 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{3NB45CAMAQ46L2U7KPUZ6YWXM5}

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	2026-05-18T00:46:17.439735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db43ce880c0439e5ea9f53e99f62d7677166930592a7083e1d2fe6ad6c9777d0

Aliases

arxiv: 1704.04925 · arxiv_version: 1704.04925v1 · doi: 10.48550/arxiv.1704.04925 · pith_short_12: 3NB45CAMAQ46 · pith_short_16: 3NB45CAMAQ46L2U7 · pith_short_8: 3NB45CAM

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/3NB45CAMAQ46L2U7KPUZ6YWXM5 \
  | 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: db43ce880c0439e5ea9f53e99f62d7677166930592a7083e1d2fe6ad6c9777d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d557dfe90b4f19511a86570bd9d0eb3c2895407081e207e9737c7a2fab24c3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-04-17T10:39:01Z",
    "title_canon_sha256": "21bbc397f980f5364c3c0d76812c77e5dd79167e74ca64e8233a434ddb9bb42b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04925",
    "kind": "arxiv",
    "version": 1
  }
}