pith. sign in
Pith Number

pith:YNMW4HW3

pith:2015:YNMW4HW32NXMGYQC4SFBWX5U6K
not attested not anchored not stored refs pending

Finite energy coordinates and vector analysis on fractals

Alexander Teplyaev, Michael Hinz

arxiv:1501.04541 v1 · 2015-01-19 · math.PR · math-ph · math.DG · math.FA · math.MG · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YNMW4HW32NXMGYQC4SFBWX5U6K}

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 2026-05-18T00:12:11.717359Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c3596e1edbd36ec36202e48a1b5fb4f28d4969bd69b8dc2da05472eb6dc3aeab

Aliases

arxiv: 1501.04541 · arxiv_version: 1501.04541v1 · doi: 10.48550/arxiv.1501.04541 · pith_short_12: YNMW4HW32NXM · pith_short_16: YNMW4HW32NXMGYQC · pith_short_8: YNMW4HW3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YNMW4HW32NXMGYQC4SFBWX5U6K \
  | 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: c3596e1edbd36ec36202e48a1b5fb4f28d4969bd69b8dc2da05472eb6dc3aeab
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8de6f10f912318cce83b9436b5bc36328bd5f1369a562e29dc2b3a5f3f4cddc3",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.FA",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-19T16:32:10Z",
    "title_canon_sha256": "3f944a75e57d5a96078a5be0cb2d72c5972de4b8cba2e40b3fde2499990e2668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04541",
    "kind": "arxiv",
    "version": 1
  }
}