Pith Number

pith:KP3N4OUA

pith:2013:KP3N4OUAXAWADUTNKTGOADCICW

not attested not anchored not stored refs pending

Gradient estimate of a Neumann eigenfunction on a compact manifold with boundary

Bin Xu, Jingchen Hu, Yiqian Shi

arxiv:1306.4033 v1 · 2013-06-17 · math.SP · 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{KP3N4OUAXAWADUTNKTGOADCICW}

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	2026-05-18T03:20:44.613782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53f6de3a80b82c01d26d54cce00c4815aa1406a80409d430505a7e2b14d8a634

Aliases

arxiv: 1306.4033 · arxiv_version: 1306.4033v1 · doi: 10.48550/arxiv.1306.4033 · pith_short_12: KP3N4OUAXAWA · pith_short_16: KP3N4OUAXAWADUTN · pith_short_8: KP3N4OUA

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/KP3N4OUAXAWADUTNKTGOADCICW \
  | 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: 53f6de3a80b82c01d26d54cce00c4815aa1406a80409d430505a7e2b14d8a634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59817c3712f59a53588e417c49bd7cad4c467d9c10c30c8e19de6f1e1c9c5218",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-06-17T22:06:25Z",
    "title_canon_sha256": "8d1991112549d4942ba68fca237abd64533b6697f905ca5059edf34d67658bcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4033",
    "kind": "arxiv",
    "version": 1
  }
}