Pith Number

pith:BTDPPNGC

pith:2019:BTDPPNGCTFVOB5EDYTKYKSKGJW

not attested not anchored not stored refs pending

Price-Coupling Games and the Generation Expansion Planning Problem

Ankur A. Kulkarni, Mathew P. Abraham

arxiv:1901.01927 v1 · 2019-01-07 · math.OC · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTDPPNGCTFVOB5EDYTKYKSKGJW}

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	2026-05-17T23:56:49.313708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc6f7b4c2996ae0f483c4d58549464d93e14cd4e233bb7aaa56826db27caa73

Aliases

arxiv: 1901.01927 · arxiv_version: 1901.01927v1 · doi: 10.48550/arxiv.1901.01927 · pith_short_12: BTDPPNGCTFVO · pith_short_16: BTDPPNGCTFVOB5ED · pith_short_8: BTDPPNGC

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/BTDPPNGCTFVOB5EDYTKYKSKGJW \
  | 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: 0cc6f7b4c2996ae0f483c4d58549464d93e14cd4e233bb7aaa56826db27caa73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d05fdad466e2135e555d6e03ffe2f3f2479a9c152586741b9d70fae0ee40344",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-01-07T17:15:46Z",
    "title_canon_sha256": "e96ed5430a9eea5de02492ee7288f58d7f24f9af49eb1d632d6dc508e3d3e5d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01927",
    "kind": "arxiv",
    "version": 1
  }
}