Pith Number

pith:Z46YU7GI

pith:2017:Z46YU7GIBVIGRPESHB74QDYVXT

not attested not anchored not stored refs pending

Resonances under Rank One Perturbations

Claudio Fernandez, Olivier Bourget, Rafael del Rio, Victor Cortes

arxiv:1707.01597 v1 · 2017-07-05 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z46YU7GIBVIGRPESHB74QDYVXT}

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	2026-05-18T00:33:16.666738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf3d8a7cc80d5068bc92387fc80f15bcfcbc2beedcb6601bdbc97e229a535637

Aliases

arxiv: 1707.01597 · arxiv_version: 1707.01597v1 · doi: 10.48550/arxiv.1707.01597 · pith_short_12: Z46YU7GIBVIG · pith_short_16: Z46YU7GIBVIGRPES · pith_short_8: Z46YU7GI

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/Z46YU7GIBVIGRPESHB74QDYVXT \
  | 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: cf3d8a7cc80d5068bc92387fc80f15bcfcbc2beedcb6601bdbc97e229a535637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138cee767e8aa13ae4613888f977387a597a8daa8c3994408896872f76cb8bf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-07-05T23:39:51Z",
    "title_canon_sha256": "4a6f96d86d22f0e2a756b03e2e577f14c1b8d4848fa493aa958a7f7d20b6355e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01597",
    "kind": "arxiv",
    "version": 1
  }
}