Pith Number

pith:EF33IZJL

pith:2012:EF33IZJL76Y47B4NKPE2WCQQ7L

not attested not anchored not stored refs pending

Polyharmonic functions of infinite order on annular regions

Hermann Render, Ognyan Kounchev

arxiv:1207.5262 v1 · 2012-07-22 · 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{EF33IZJL76Y47B4NKPE2WCQQ7L}

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	2026-05-18T03:50:24.030976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2177b4652bffb1cf878d53c9ab0a10fade7a24e420a3c64e2b0c7874c6f12f58

Aliases

arxiv: 1207.5262 · arxiv_version: 1207.5262v1 · doi: 10.48550/arxiv.1207.5262 · pith_short_12: EF33IZJL76Y4 · pith_short_16: EF33IZJL76Y47B4N · pith_short_8: EF33IZJL

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/EF33IZJL76Y47B4NKPE2WCQQ7L \
  | 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: 2177b4652bffb1cf878d53c9ab0a10fade7a24e420a3c64e2b0c7874c6f12f58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a85674587fc6c10b70ff41e29ba660bd104fd16bd987131fde0a787bd6110686",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-22T21:53:53Z",
    "title_canon_sha256": "82f8750298932d45714fb998e7b012507b79c79ccc73cae6d44489cf949fe972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5262",
    "kind": "arxiv",
    "version": 1
  }
}