Pith Number

pith:3GMRABEV

pith:2012:3GMRABEVAEZSWC4IC3WDKL22DK

not attested not anchored not stored refs pending

Homogenization of Green and Neumann Functions

Carlos E. Kenig, Fanghua Lin, Zhongwei Shen

arxiv:1201.1440 v1 · 2012-01-06 · 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{3GMRABEVAEZSWC4IC3WDKL22DK}

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	2026-05-18T04:05:04.651412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d99910049501332b0b8816ec352f5a1aa98e55cee7a82ab17b87be127bcd5693

Aliases

arxiv: 1201.1440 · arxiv_version: 1201.1440v1 · doi: 10.48550/arxiv.1201.1440 · pith_short_12: 3GMRABEVAEZS · pith_short_16: 3GMRABEVAEZSWC4I · pith_short_8: 3GMRABEV

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/3GMRABEVAEZSWC4IC3WDKL22DK \
  | 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: d99910049501332b0b8816ec352f5a1aa98e55cee7a82ab17b87be127bcd5693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95596cb162863f97626ca2edbdf0c81b99d31c946d608b060476174450f573bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-06T16:03:40Z",
    "title_canon_sha256": "fcb134efe1ab44f9e69aa385ca68e28a3cc218358dae02e043bcb143e4121233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1440",
    "kind": "arxiv",
    "version": 1
  }
}