Pith Number

pith:32ZUTHWI

pith:2011:32ZUTHWINY32BSAPQXDWSIL5L5

not attested not anchored not stored refs pending

Neumann functions for second order elliptic systems with measurable coefficients

Jongkeun Choi, Seick Kim

arxiv:1112.2436 v3 · 2011-12-12 · 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{32ZUTHWINY32BSAPQXDWSIL5L5}

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	2026-05-18T02:42:06.373894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb3499ec86e37a0c80f85c769217d5f5f2b817b25bed39303ffb71e85e4820e

Aliases

arxiv: 1112.2436 · arxiv_version: 1112.2436v3 · doi: 10.48550/arxiv.1112.2436 · pith_short_12: 32ZUTHWINY32 · pith_short_16: 32ZUTHWINY32BSAP · pith_short_8: 32ZUTHWI

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/32ZUTHWINY32BSAPQXDWSIL5L5 \
  | 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: deb3499ec86e37a0c80f85c769217d5f5f2b817b25bed39303ffb71e85e4820e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71febbeb412e82973e023d15615ed9f2cb5acae6d44eff9cfc8cac35524ebd54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-12T04:17:54Z",
    "title_canon_sha256": "1a686865f32623346c9721a10d1fcef2ff02c25712b7f85ab0d75a6349bb38f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2436",
    "kind": "arxiv",
    "version": 3
  }
}