Pith Number

pith:V5GHJ6VG

pith:2015:V5GHJ6VGWRUFW4X77SJM424533

not attested not anchored not stored refs pending

Polyharmonic polynomials and mixed boundary value problems in the Heisenberg group $\mathbb H_n$

A. Kumar, M. M. Mishra, S. Dubey

arxiv:1511.00079 v2 · 2015-10-31 · 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{V5GHJ6VGWRUFW4X77SJM424533}

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	2026-05-18T01:11:51.231206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af4c74faa6b4685b72fffc92ce6b9ddedf7abc79005cae51ea4f1781c65cbcd4

Aliases

arxiv: 1511.00079 · arxiv_version: 1511.00079v2 · doi: 10.48550/arxiv.1511.00079 · pith_short_12: V5GHJ6VGWRUF · pith_short_16: V5GHJ6VGWRUFW4X7 · pith_short_8: V5GHJ6VG

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/V5GHJ6VGWRUFW4X77SJM424533 \
  | 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: af4c74faa6b4685b72fffc92ce6b9ddedf7abc79005cae51ea4f1781c65cbcd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f6d801ba881e5f5f769ab3fdd1ccbffa5933ab3e7f7092465f8cb9e555ca3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-31T05:42:11Z",
    "title_canon_sha256": "8e2a4b1e85403fe8059605f763b9127b35a78519dcd77421140bf6b04bd0c078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00079",
    "kind": "arxiv",
    "version": 2
  }
}