Pith Number

pith:DEAV3AKP

pith:2021:DEAV3AKPLIC7DKRS2MP27VHEH4

not attested not anchored not stored refs pending

A Characterization for Optimal Bundling of Products with Non-Additive Values

Soheil Ghili

arxiv:2101.11532 v3 · 2021-01-27 · 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{DEAV3AKPLIC7DKRS2MP27VHEH4}

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	2026-07-05T04:16:35.105977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19015d814f5a05f1aa32d31fafd4e43f23d7a4133d44ca11b496b91cd2d608ad

Aliases

arxiv: 2101.11532 · arxiv_version: 2101.11532v3 · doi: 10.48550/arxiv.2101.11532 · pith_short_12: DEAV3AKPLIC7 · pith_short_16: DEAV3AKPLIC7DKRS · pith_short_8: DEAV3AKP

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/DEAV3AKPLIC7DKRS2MP27VHEH4 \
  | 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: 19015d814f5a05f1aa32d31fafd4e43f23d7a4133d44ca11b496b91cd2d608ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56029a1b3df5838f967969293565ee7477795958df6360470552d7f8acedee0f",
    "cross_cats_sorted": [
      "q-fin.EC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.GN",
    "submitted_at": "2021-01-27T16:36:29Z",
    "title_canon_sha256": "170c61162f8d8a8dd0ddf8e3b72669c0708d2d60ea1bda30a345fdd021fe79fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.11532",
    "kind": "arxiv",
    "version": 3
  }
}