Pith Number

pith:55WOKI2G

pith:2016:55WOKI2GTWJP32N4LTUTK7IQRG

not attested not anchored not stored refs pending

Zipf's law emerges asymptotically during phase transitions in communicative systems

Bohdan B. Khomtchouk, Claes Wahlestedt

arxiv:1603.03153 v2 · 2016-03-10 · physics.soc-ph · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55WOKI2GTWJP32N4LTUTK7IQRG}

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	2026-05-18T01:17:55.046066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef6ce523469d92fde9bc5ce9357d10898d62f45375f8817fdf64c7aea6f939fe

Aliases

arxiv: 1603.03153 · arxiv_version: 1603.03153v2 · doi: 10.48550/arxiv.1603.03153 · pith_short_12: 55WOKI2GTWJP · pith_short_16: 55WOKI2GTWJP32N4 · pith_short_8: 55WOKI2G

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/55WOKI2GTWJP32N4LTUTK7IQRG \
  | 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: ef6ce523469d92fde9bc5ce9357d10898d62f45375f8817fdf64c7aea6f939fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17de361c1d982e9b283af2d2e275ae72363d98f75f08f74760e47758838c78be",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-03-10T06:01:28Z",
    "title_canon_sha256": "b54e97895311de4eca3f35af9d1886d8184aceb9a7531d6382deb706a1d7c0cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03153",
    "kind": "arxiv",
    "version": 2
  }
}