Pith Number

pith:4ZF4DWII

pith:2014:4ZF4DWII7OJZ6VB55PPXLQZWI5

not attested not anchored not stored refs pending

Position Auctions with Externalities and Brand Effects

Patrick Hummel, R. Preston McAfee

arxiv:1409.4687 v1 · 2014-09-16 · 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{4ZF4DWII7OJZ6VB55PPXLQZWI5}

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	2026-05-18T02:42:45.093567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e64bc1d908fb939f543debdf75c336477d35c511587cdc1fc5a18e291c6245db

Aliases

arxiv: 1409.4687 · arxiv_version: 1409.4687v1 · doi: 10.48550/arxiv.1409.4687 · pith_short_12: 4ZF4DWII7OJZ · pith_short_16: 4ZF4DWII7OJZ6VB5 · pith_short_8: 4ZF4DWII

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/4ZF4DWII7OJZ6VB55PPXLQZWI5 \
  | 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: e64bc1d908fb939f543debdf75c336477d35c511587cdc1fc5a18e291c6245db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e83204b80c6cb3833d7769a01290f7b9d6ad2114085f76c40ddf6524dd22d2dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2014-09-16T16:28:38Z",
    "title_canon_sha256": "5aed609ec36857b05debc21b5a9bb3a95248bfac99d50b2a2c78953a3076ab42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4687",
    "kind": "arxiv",
    "version": 1
  }
}