Pith Number

pith:4H2LF6D2

pith:2011:4H2LF6D2TEGXSUCD4INHJ2HPQ5

not attested not anchored not stored refs pending

Market Mechanisms with Non-Price-Taking Agents

Ali Kakhbod

arxiv:1108.2728 v3 · 2011-08-12 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4H2LF6D2TEGXSUCD4INHJ2HPQ5}

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	2026-05-18T04:02:39.494001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1f4b2f87a990d795043e21a74e8ef87733112ec1834134af7c35b21828c6b81

Aliases

arxiv: 1108.2728 · arxiv_version: 1108.2728v3 · doi: 10.48550/arxiv.1108.2728 · pith_short_12: 4H2LF6D2TEGX · pith_short_16: 4H2LF6D2TEGXSUCD · pith_short_8: 4H2LF6D2

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/4H2LF6D2TEGXSUCD4INHJ2HPQ5 \
  | 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: e1f4b2f87a990d795043e21a74e8ef87733112ec1834134af7c35b21828c6b81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83ffa8e1be72309020e8fa3a66a7d2fcd2f0823771aba2fea8f55510f6db6673",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-08-12T22:03:45Z",
    "title_canon_sha256": "4785a407c5811e9211e469c197c2c01acd3138b8fe69706c953f7240247fd363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2728",
    "kind": "arxiv",
    "version": 3
  }
}