Pith Number

pith:H6ICZQID

pith:2016:H6ICZQIDPMU6SE2IM3TJPXWKLW

not attested not anchored not stored refs pending

Large-time asymptotic behavior of the infinite system of harmonic oscillators

T.V. Dudnikova

arxiv:1610.09217 v2 · 2016-10-28 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H6ICZQIDPMU6SE2IM3TJPXWKLW}

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	2026-05-18T00:33:59.710544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f902cc1037b29e9134866e697deca5da49e21a4b0ae8e081cd82aa2ff4a3979

Aliases

arxiv: 1610.09217 · arxiv_version: 1610.09217v2 · doi: 10.48550/arxiv.1610.09217 · pith_short_12: H6ICZQIDPMU6 · pith_short_16: H6ICZQIDPMU6SE2I · pith_short_8: H6ICZQID

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/H6ICZQIDPMU6SE2IM3TJPXWKLW \
  | 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: 3f902cc1037b29e9134866e697deca5da49e21a4b0ae8e081cd82aa2ff4a3979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b813afe977a84fc94d6baa1bcfa47c091be87182a0110b81253a87994d5a21",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-28T13:57:40Z",
    "title_canon_sha256": "4b2d8f6396cf10104bd34fc0b47004f8e12e1792781848b66582e73ede0ac065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09217",
    "kind": "arxiv",
    "version": 2
  }
}