Pith Number

pith:42YPHBDA

pith:2025:42YPHBDAALLR4IMIXL2MO5PAQQ

not attested not anchored not stored refs pending

Sub-exponential Growth Dynamics in Complex Systems: A Piecewise Power-Law Model for the Diffusion of New Words and Names

Hayafumi Watanabe

arxiv:2511.04106 v4 · 2025-11-06 · physics.soc-ph · cs.CL · cs.CY · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42YPHBDAALLR4IMIXL2MO5PAQQ}

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	2026-05-21T02:04:54.515611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b0f3846002d71e2188baf4c775e084074315b929cd6e6c7fd4b0a424bac0d6

Aliases

arxiv: 2511.04106 · arxiv_version: 2511.04106v4 · doi: 10.48550/arxiv.2511.04106 · pith_short_12: 42YPHBDAALLR · pith_short_16: 42YPHBDAALLR4IMI · pith_short_8: 42YPHBDA

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/42YPHBDAALLR4IMIXL2MO5PAQQ \
  | 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: e6b0f3846002d71e2188baf4c775e084074315b929cd6e6c7fd4b0a424bac0d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c6a85a8cededfa9d543344ee1ada4f165cdec67d286e7d2419b8bc9fba219e",
    "cross_cats_sorted": [
      "cs.CL",
      "cs.CY",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2025-11-06T06:44:45Z",
    "title_canon_sha256": "c86750cfd039a2f2f5b973f329eeabb0d606783091c79b1faccf5a06be8256db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.04106",
    "kind": "arxiv",
    "version": 4
  }
}