Pith Number

pith:K6DDMANT

pith:2004:K6DDMANTRC46BT72DPKIHN6LSI

not attested not anchored not stored refs pending

Function Theory for Laplace and Dirac-Hodge Operators in Hyperbolic SPace

John Ryan, Sirkka-Liisa Eriksson, Swanhild Bernstein, Yuying Qiao

arxiv:math/0407192 v1 · 2004-07-12 · 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{K6DDMANTRC46BT72DPKIHN6LSI}

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	2026-05-18T01:05:26.181999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57863601b388b9e0cffa1bd483b7cb92375123b91e91c53d242b1e684df472aa

Aliases

arxiv: math/0407192 · arxiv_version: math/0407192v1 · doi: 10.48550/arxiv.math/0407192 · pith_short_12: K6DDMANTRC46 · pith_short_16: K6DDMANTRC46BT72 · pith_short_8: K6DDMANT

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/K6DDMANTRC46BT72DPKIHN6LSI \
  | 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: 57863601b388b9e0cffa1bd483b7cb92375123b91e91c53d242b1e684df472aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f99705fc9648e031a23e53b5442fd480f423bda697967f7115d9811f42c7f981",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2004-07-12T07:53:49Z",
    "title_canon_sha256": "03444a047ac6bf3c721c8d94cc43a8a12064d2a4c3689116f5cdf4e075295527"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407192",
    "kind": "arxiv",
    "version": 1
  }
}