Pith Number

pith:7HOWN3W5

pith:2019:7HOWN3W5TYKUVS52MCCQYF5WY3

not attested not anchored not stored refs pending

Mapping Firms' Locations in Technological Space: A Topological Analysis of Patent Statistics

Emerson G. Escolar, Mitsuru Igami, Yasin Ozcan, Yasuaki Hiraoka

arxiv:1909.00257 v7 · 2019-08-31 · econ.EM · cs.DM · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HOWN3W5TYKUVS52MCCQYF5WY3}

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	2026-07-05T04:10:33.504237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9dd66eedd9e154acbba60850c17b6c6d973a9bf72e83fbf916ade0b8c25d8df

Aliases

arxiv: 1909.00257 · arxiv_version: 1909.00257v7 · doi: 10.48550/arxiv.1909.00257 · pith_short_12: 7HOWN3W5TYKU · pith_short_16: 7HOWN3W5TYKUVS52 · pith_short_8: 7HOWN3W5

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/7HOWN3W5TYKUVS52MCCQYF5WY3 \
  | 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: f9dd66eedd9e154acbba60850c17b6c6d973a9bf72e83fbf916ade0b8c25d8df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f4b3356a482c655eee2c6ab1aa1734b0a5f3138e72207513fa3f95699375dde",
    "cross_cats_sorted": [
      "cs.DM",
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.EM",
    "submitted_at": "2019-08-31T18:20:25Z",
    "title_canon_sha256": "95090b6c32b8f012a6da66de53e0a13d63a6b8f5ba6d59d71b713844887f0eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00257",
    "kind": "arxiv",
    "version": 7
  }
}