Pith Number

pith:GSCH7Q7R

pith:2018:GSCH7Q7RFDV7GVD54MTIP74GM6

not attested not anchored not stored refs pending

Zipf's, Heaps' and Taylor's laws are determined by the expansion into the adjacent possible

Francesca Tria, Vito D. P. Servedio, Vittorio Loreto

arxiv:1811.00612 v1 · 2018-09-30 · physics.soc-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{GSCH7Q7RFDV7GVD54MTIP74GM6}

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	2026-05-18T00:00:47.013735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34847fc3f128ebf3547de32687ff86679db563256c3efe1de9ba415c972b5e4c

Aliases

arxiv: 1811.00612 · arxiv_version: 1811.00612v1 · doi: 10.48550/arxiv.1811.00612 · pith_short_12: GSCH7Q7RFDV7 · pith_short_16: GSCH7Q7RFDV7GVD5 · pith_short_8: GSCH7Q7R

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/GSCH7Q7RFDV7GVD54MTIP74GM6 \
  | 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: 34847fc3f128ebf3547de32687ff86679db563256c3efe1de9ba415c972b5e4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12e401925e9ce9ea8c1c16595f4963d8494f8ab487fb5fdead54f4ee8389da8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2018-09-30T21:13:20Z",
    "title_canon_sha256": "00d9a325d5b8dc6e40d1a29fbbc54f39c5f86d78c14b3c46891275a7271d9843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00612",
    "kind": "arxiv",
    "version": 1
  }
}