Pith Number

pith:J6CFUO3B

pith:2016:J6CFUO3B3ZXYRIDTLJPKELBGUZ

not attested not anchored not stored refs pending

On Green functions of second-order elliptic operators on Riemannian manifolds: The critical case

Debdip Ganguly, Yehuda Pinchover

arxiv:1609.08200 v2 · 2016-09-26 · 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{J6CFUO3B3ZXYRIDTLJPKELBGUZ}

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	2026-05-18T00:40:51.545693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f845a3b61de6f88a0735a5ea22c26a677060ed4f6a3bb6a71c734b1e7477de5

Aliases

arxiv: 1609.08200 · arxiv_version: 1609.08200v2 · doi: 10.48550/arxiv.1609.08200 · pith_short_12: J6CFUO3B3ZXY · pith_short_16: J6CFUO3B3ZXYRIDT · pith_short_8: J6CFUO3B

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/J6CFUO3B3ZXYRIDTLJPKELBGUZ \
  | 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: 4f845a3b61de6f88a0735a5ea22c26a677060ed4f6a3bb6a71c734b1e7477de5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "846cceeeb4b24120f93ba93c8de7c361e3ff41872f59393ec9c954f5bb3cde11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-26T21:51:01Z",
    "title_canon_sha256": "555d149bf6f4ed4cc0228a8dd351317d8188f27e4dc67bd6f099723504b47566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08200",
    "kind": "arxiv",
    "version": 2
  }
}