Pith Number

pith:CW4G4ILH

pith:2012:CW4G4ILH3A56I6BYIZNJW5V43Q

not attested not anchored not stored refs pending

Clinching Auctions with Online Supply

Gagan Goel, Renato Paes Leme, Vahab Mirrokni

arxiv:1210.1456 v1 · 2012-10-04 · 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{CW4G4ILH3A56I6BYIZNJW5V43Q}

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	2026-05-18T03:44:03.490821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15b86e2167d83be47838465a9b76bcdc04dfee42cc2f024c3bebb4648e24acfd

Aliases

arxiv: 1210.1456 · arxiv_version: 1210.1456v1 · doi: 10.48550/arxiv.1210.1456 · pith_short_12: CW4G4ILH3A56 · pith_short_16: CW4G4ILH3A56I6BY · pith_short_8: CW4G4ILH

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/CW4G4ILH3A56I6BYIZNJW5V43Q \
  | 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: 15b86e2167d83be47838465a9b76bcdc04dfee42cc2f024c3bebb4648e24acfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe12a84db94a6d747af7aa773769871f21f73adef509ef4579a83dc47d69000",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-10-04T14:16:55Z",
    "title_canon_sha256": "468f4a2c82481ed4ccc233f1edc2b10fd2fc60195aab9f2eb30c53e9ecad6bd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1456",
    "kind": "arxiv",
    "version": 1
  }
}