Pith Number

pith:2QRL7SF2

pith:2015:2QRL7SF2YP7PJ7HADATJMGZBTA

not attested not anchored not stored refs pending

An Improved Combinatorial Polynomial Algorithm for the Linear Arrow-Debreu Market

Jugal Garg, Kurt Mehlhorn, Rann Duan

arxiv:1510.02694 v2 · 2015-10-09 · cs.DS · 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{2QRL7SF2YP7PJ7HADATJMGZBTA}

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	2026-05-18T01:30:00.730937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d422bfc8bac3fef4fce01826961b219820bd2b349fb810d4004bcb19166dc291

Aliases

arxiv: 1510.02694 · arxiv_version: 1510.02694v2 · doi: 10.48550/arxiv.1510.02694 · pith_short_12: 2QRL7SF2YP7P · pith_short_16: 2QRL7SF2YP7PJ7HA · pith_short_8: 2QRL7SF2

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/2QRL7SF2YP7PJ7HADATJMGZBTA \
  | 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: d422bfc8bac3fef4fce01826961b219820bd2b349fb810d4004bcb19166dc291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b6b1ab0ebecb0479d4ad0d893df1ca7a8f512175653053b540d2e10836876da",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-10-09T15:05:08Z",
    "title_canon_sha256": "1c79959e7cd875d1ba618e5e04ebe900e0c996b7792cd5902229fe1803aaa767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02694",
    "kind": "arxiv",
    "version": 2
  }
}