Pith Number

pith:C2KXSHR4

pith:2020:C2KXSHR4MZJFNB7UHALQGOBU7V

not attested not anchored not stored refs pending

Statistical patterns of word frequency suggesting the probabilistic nature of human languages

Chunshan Xu, Haitao Liu, Shuiyuan Yu

arxiv:2012.00187 v1 · 2020-12-01 · cs.CL · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C2KXSHR4MZJFNB7UHALQGOBU7V}

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	2026-07-05T01:55:33.384126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1695791e3c66525687f43817033834fd59d4777a7034f09daef7b73bbfa34c66

Aliases

arxiv: 2012.00187 · arxiv_version: 2012.00187v1 · doi: 10.48550/arxiv.2012.00187 · pith_short_12: C2KXSHR4MZJF · pith_short_16: C2KXSHR4MZJFNB7U · pith_short_8: C2KXSHR4

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/C2KXSHR4MZJFNB7UHALQGOBU7V \
  | 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: 1695791e3c66525687f43817033834fd59d4777a7034f09daef7b73bbfa34c66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ee8187c8ecce1f33b442d1ea5a41e320cddf1cf57fe3cf24c862fd2f7e6349",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2020-12-01T00:48:27Z",
    "title_canon_sha256": "0e8b6afc3616e2e3dc587c61b4ea3a245270b0f3168419b63a7433f14a930655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.00187",
    "kind": "arxiv",
    "version": 1
  }
}