Pith Number

pith:PBIGA2NN

pith:2017:PBIGA2NNKZ266LIHM26NUL7SAG

not attested not anchored not stored refs pending

Harmonic functions which vanish on coaxial cylinders

Hermann Render, Stephen J. Gardiner

arxiv:1705.09237 v1 · 2017-05-25 · math.CA · math.AP · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBIGA2NNKZ266LIHM26NUL7SAG}

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	2026-05-18T00:43:40.088883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78506069ad5675ef2d0766bcda2ff2018ccc20fb941ccc94851ae21b66204764

Aliases

arxiv: 1705.09237 · arxiv_version: 1705.09237v1 · doi: 10.48550/arxiv.1705.09237 · pith_short_12: PBIGA2NNKZ26 · pith_short_16: PBIGA2NNKZ266LIH · pith_short_8: PBIGA2NN

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/PBIGA2NNKZ266LIHM26NUL7SAG \
  | 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: 78506069ad5675ef2d0766bcda2ff2018ccc20fb941ccc94851ae21b66204764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db2a01d8bd5b2ebb5e7fba53a82b8922bad73138fb0edaa44cafb5d64a4dd00",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-25T15:47:15Z",
    "title_canon_sha256": "48ea3bb846920a25c37b0f1a6fc8fa577c231b1dd3bfcb9b1827b867a2e0ba40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09237",
    "kind": "arxiv",
    "version": 1
  }
}