Pith Number

pith:QZRXMSEB

pith:2013:QZRXMSEBZDGVRKEMOWP4M72GIJ

not attested not anchored not stored refs pending

Hill's Equation with Small Fluctuations: Cycle to Cycle Variations and Stochastic Processes

Anthony M. Bloch, Fred C. Adams

arxiv:1303.3918 v1 · 2013-03-15 · math-ph · astro-ph.CO · 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{QZRXMSEBZDGVRKEMOWP4M72GIJ}

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	2026-05-18T01:51:06.553858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8663764881c8cd58a88c759fc67f46426593626bf15b1080bd1edf64893de0d8

Aliases

arxiv: 1303.3918 · arxiv_version: 1303.3918v1 · doi: 10.48550/arxiv.1303.3918 · pith_short_12: QZRXMSEBZDGV · pith_short_16: QZRXMSEBZDGVRKEM · pith_short_8: QZRXMSEB

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/QZRXMSEBZDGVRKEMOWP4M72GIJ \
  | 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: 8663764881c8cd58a88c759fc67f46426593626bf15b1080bd1edf64893de0d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08bf5d561448c2a6ec969e293efa5e51da191b931bf0813c5ba39cfcbf64959",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-15T22:35:45Z",
    "title_canon_sha256": "0b8bfb713f38967febf12dfab5f8106e1516f22dba5f6238726209a0acd7008f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3918",
    "kind": "arxiv",
    "version": 1
  }
}