Pith Number

pith:GPUOGZR5

pith:2021:GPUOGZR536D3AA7Z7ASKOK3YVU

not attested not anchored not stored refs pending

On the Stratification of Product Portfolios

Vikram Govindan, Wei Xie

arxiv:2106.02917 v1 · 2021-06-05 · math.OC · econ.GN · q-fin.EC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPUOGZR536D3AA7Z7ASKOK3YVU}

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	2026-07-05T02:46:31.761982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e8e3663ddf87b003f9f824a72b78ad23411e0e7bf58eeefb7f1c7f6d658c72

Aliases

arxiv: 2106.02917 · arxiv_version: 2106.02917v1 · doi: 10.48550/arxiv.2106.02917 · pith_short_12: GPUOGZR536D3 · pith_short_16: GPUOGZR536D3AA7Z · pith_short_8: GPUOGZR5

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/GPUOGZR536D3AA7Z7ASKOK3YVU \
  | 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: 33e8e3663ddf87b003f9f824a72b78ad23411e0e7bf58eeefb7f1c7f6d658c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d8d6b8932e294b26b45dcb199674980b6c2e792083309698dea1e07fa2bdbe",
    "cross_cats_sorted": [
      "econ.GN",
      "q-fin.EC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-06-05T15:13:55Z",
    "title_canon_sha256": "5a4abac9eba298ac930c5de2175a896416e50ff003e7bc117d92cb2e1a7bd143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02917",
    "kind": "arxiv",
    "version": 1
  }
}