Pith Number

pith:RPHN5LMC

pith:2018:RPHN5LMC5Q2LVIMSNJQSEPVH3M

not attested not anchored not stored refs pending

Cost Per Action Constrained Auctions

Benjamin Heymann

arxiv:1809.08837 v2 · 2018-09-24 · cs.GT · 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{RPHN5LMC5Q2LVIMSNJQSEPVH3M}

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	2026-05-17T23:46:36.110721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bcedead82ec34baa1926a61223ea7db2e6d0505414075dbdd92c08abfcda65f

Aliases

arxiv: 1809.08837 · arxiv_version: 1809.08837v2 · doi: 10.48550/arxiv.1809.08837 · pith_short_12: RPHN5LMC5Q2L · pith_short_16: RPHN5LMC5Q2LVIMS · pith_short_8: RPHN5LMC

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/RPHN5LMC5Q2LVIMSNJQSEPVH3M \
  | 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: 8bcedead82ec34baa1926a61223ea7db2e6d0505414075dbdd92c08abfcda65f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "885e5cd42550aadfbf5d289e80af5c0747881cb5aef6a0e2c9f42e46529b8758",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2018-09-24T11:01:51Z",
    "title_canon_sha256": "9de224224d34bb9bba72e2977af748081aa27d6c408a1eb5b646fa52ec20d3c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08837",
    "kind": "arxiv",
    "version": 2
  }
}