Pith Number

pith:56NTS2N3

pith:2014:56NTS2N3455PH5PPGBVHCPJGIC

not attested not anchored not stored refs pending

A topological approach to periodic oscillations related to the Liebau phenomenon

Gennaro Infante, Jos\'e \'Angel Cid, Milan Tvrd\'y, Miros{\l}awa Zima

arxiv:1408.0130 v1 · 2014-08-01 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56NTS2N3455PH5PPGBVHCPJGIC}

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	2026-05-18T02:34:51.955286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef9b3969bbe77af3f5ef306a713d2640b4af9b801d1658d538507c8bd35c5d7d

Aliases

arxiv: 1408.0130 · arxiv_version: 1408.0130v1 · doi: 10.48550/arxiv.1408.0130 · pith_short_12: 56NTS2N3455P · pith_short_16: 56NTS2N3455PH5PP · pith_short_8: 56NTS2N3

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/56NTS2N3455PH5PPGBVHCPJGIC \
  | 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: ef9b3969bbe77af3f5ef306a713d2640b4af9b801d1658d538507c8bd35c5d7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c29f6b35c02670a4b85e63fd8765e6ccda9b5dc745056d18f1fc546faa38023",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-08-01T11:12:58Z",
    "title_canon_sha256": "89175def944c4254a00380cbef19d085aeaa9ed51d24ba1aaab727397b4fc944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0130",
    "kind": "arxiv",
    "version": 1
  }
}