Pith Number

pith:ZJQTPHV4

pith:2025:ZJQTPHV4L77MFLQ2A2KBRLNGOU

not attested not anchored not stored refs pending

Dynamic Synchronization and Resonance as a Universal Origin of 1/f Fluctuations -- Amplitude Modulation Across Music and Nature

Akika Nakamichi, Izumi Uesaka, Masahiro Morikawa

arxiv:2508.10049 v1 · 2025-08-12 · cs.SD · nlin.AO · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJQTPHV4L77MFLQ2A2KBRLNGOU}

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	2026-07-05T11:54:14.032480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca61379ebc5ffec2ae1a069418ada6750f40cf49aa94b33031ec2f72bee6c576

Aliases

arxiv: 2508.10049 · arxiv_version: 2508.10049v1 · doi: 10.48550/arxiv.2508.10049 · pith_short_12: ZJQTPHV4L77M · pith_short_16: ZJQTPHV4L77MFLQ2 · pith_short_8: ZJQTPHV4

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/ZJQTPHV4L77MFLQ2A2KBRLNGOU \
  | 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: ca61379ebc5ffec2ae1a069418ada6750f40cf49aa94b33031ec2f72bee6c576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f94a296aa3a75c6e6d1f70fd8447f2ab226ce18fc2138fef2b4dc738f5e18c",
    "cross_cats_sorted": [
      "nlin.AO",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SD",
    "submitted_at": "2025-08-12T10:23:16Z",
    "title_canon_sha256": "e96dbe4540980267404479044c34a38bdb21a41c57041a4d8998065d2b4c2008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.10049",
    "kind": "arxiv",
    "version": 1
  }
}