Pith Number

pith:QBI2J4RH

pith:2016:QBI2J4RH45SGMJNCRUSNVCMJYE

not attested not anchored not stored refs pending

Directly Constraining Marginal Prices

Kyri Baker

arxiv:1606.08515 v1 · 2016-06-27 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBI2J4RH45SGMJNCRUSNVCMJYE}

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	2026-05-18T01:11:47.546633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8051a4f227e7646625a28d24da8989c11577dfff687b1b37d0e3e236227d1fe1

Aliases

arxiv: 1606.08515 · arxiv_version: 1606.08515v1 · doi: 10.48550/arxiv.1606.08515 · pith_short_12: QBI2J4RH45SG · pith_short_16: QBI2J4RH45SGMJNC · pith_short_8: QBI2J4RH

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/QBI2J4RH45SGMJNCRUSNVCMJYE \
  | 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: 8051a4f227e7646625a28d24da8989c11577dfff687b1b37d0e3e236227d1fe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5725790d3f877595d2d11bf0d33440f80dfb7e2558df7ec8e797aa4d9c7aea47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-06-27T23:52:01Z",
    "title_canon_sha256": "4a91100b88fb54d0124922cca6d0abb95ff414cf24454fed36966a145ca77371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08515",
    "kind": "arxiv",
    "version": 1
  }
}