Pith Number

pith:7LXW4Z5N

pith:2013:7LXW4Z5NB6B6Q5HR6FYV2JD532

not attested not anchored not stored refs pending

Green's function for certain domains in the Heisenberg Group $\mathbb H_n$

Ajay Kumar, Mukund Madhav Mishra, Shivani Dubey

arxiv:1308.5643 v1 · 2013-08-26 · 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{7LXW4Z5NB6B6Q5HR6FYV2JD532}

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	2026-05-18T03:15:03.889775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faef6e67ad0f83e874f1f1715d247dde918b29f0789583e5ff7c8fa7043b92cd

Aliases

arxiv: 1308.5643 · arxiv_version: 1308.5643v1 · doi: 10.48550/arxiv.1308.5643 · pith_short_12: 7LXW4Z5NB6B6 · pith_short_16: 7LXW4Z5NB6B6Q5HR · pith_short_8: 7LXW4Z5N

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/7LXW4Z5NB6B6Q5HR6FYV2JD532 \
  | 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: faef6e67ad0f83e874f1f1715d247dde918b29f0789583e5ff7c8fa7043b92cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92e18a757a5688f4b699d43739f9cca58ade4632560830c4a3315f30e7e43bc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-26T17:16:24Z",
    "title_canon_sha256": "adff42cb0787ef783300d3e1865fbc5d1da63f3ddb642eddbd5967d7d38601bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5643",
    "kind": "arxiv",
    "version": 1
  }
}