Pith Number

pith:62VLR3SL

pith:2016:62VLR3SLK6TXWFOC4ZJUZJPC3H

not attested not anchored not stored refs pending

The exact Laplacian spectrum for the Dyson hierarchical network

Elena Agliari, Flavia Tavani

arxiv:1604.05864 v2 · 2016-04-20 · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62VLR3SLK6TXWFOC4ZJUZJPC3H}

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	2026-05-18T00:46:44.088862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6aab8ee4b57a77b15c2e6534ca5e2d9fa70dd0142f81183d5eb235216d5a553

Aliases

arxiv: 1604.05864 · arxiv_version: 1604.05864v2 · doi: 10.48550/arxiv.1604.05864 · pith_short_12: 62VLR3SLK6TX · pith_short_16: 62VLR3SLK6TXWFOC · pith_short_8: 62VLR3SL

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/62VLR3SLK6TXWFOC4ZJUZJPC3H \
  | 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: f6aab8ee4b57a77b15c2e6534ca5e2d9fa70dd0142f81183d5eb235216d5a553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca92c1b0f247b2e8cd7f4fe3839064dc25c6975f5977537e040f35234b4325d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2016-04-20T09:06:54Z",
    "title_canon_sha256": "c49915a526368cdc0aefc2ac6bbc9643a1fa30e876fcd0b99cc7c13376f2d71d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05864",
    "kind": "arxiv",
    "version": 2
  }
}