Pith Number

pith:EDBBLXPE

pith:2019:EDBBLXPEYOZXCVIFD4ZF36RRSL

not attested not anchored not stored refs pending

Optimal auctions for networked markets with externalities

Alejandro Jofr\'e, Benjamin Heymann

arxiv:1907.10080 v1 · 2019-07-23 · econ.TH · 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{EDBBLXPEYOZXCVIFD4ZF36RRSL}

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	2026-05-17T23:39:39.095303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20c215dde4c3b37155051f325dfa3192cbdeb0050be051d2c1d17d7b130af8c6

Aliases

arxiv: 1907.10080 · arxiv_version: 1907.10080v1 · doi: 10.48550/arxiv.1907.10080 · pith_short_12: EDBBLXPEYOZX · pith_short_16: EDBBLXPEYOZXCVIF · pith_short_8: EDBBLXPE

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/EDBBLXPEYOZXCVIFD4ZF36RRSL \
  | 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: 20c215dde4c3b37155051f325dfa3192cbdeb0050be051d2c1d17d7b130af8c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e28eeece557a1814cfd079a354adae12a45b1603a1bcf1f3b742d599fa5c28a",
    "cross_cats_sorted": [
      "cs.GT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2019-07-23T18:02:28Z",
    "title_canon_sha256": "b2f118ee77d6c8e5b2b2086b08dbfe5209c3b6666cc8d89a01f71481856c2e8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10080",
    "kind": "arxiv",
    "version": 1
  }
}