Pith Number

pith:I6VC4PGC

pith:2020:I6VC4PGCLQQRUKRIGCSWDG7CWT

not attested not anchored not stored refs pending

Spectral theory of dynamical systems

Adam Kanigowski, Mariusz Lema\'nczyk

arxiv:2006.11616 v1 · 2020-06-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6VC4PGCLQQRUKRIGCSWDG7CWT}

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	2026-07-05T01:11:52.043737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47aa2e3cc25c211a2a2830a5619be2b4cf708c5c019e6a84cc95c13a92f45886

Aliases

arxiv: 2006.11616 · arxiv_version: 2006.11616v1 · doi: 10.48550/arxiv.2006.11616 · pith_short_12: I6VC4PGCLQQR · pith_short_16: I6VC4PGCLQQRUKRI · pith_short_8: I6VC4PGC

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/I6VC4PGCLQQRUKRIGCSWDG7CWT \
  | 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: 47aa2e3cc25c211a2a2830a5619be2b4cf708c5c019e6a84cc95c13a92f45886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a6f94835081aa5474118351c5ca200ed8c492ff5d1a031f10d321016057705",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-06-20T16:55:46Z",
    "title_canon_sha256": "8ff5a2b40ec05c2329138072a03ccc8cd18cc050814fb3fdc39b9e391e9a7c67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.11616",
    "kind": "arxiv",
    "version": 1
  }
}