Pith Number

pith:YLS55TFD

pith:2015:YLS55TFDTIYOSWUUVNJFRJTRHH

not attested not anchored not stored refs pending

Learning in Auctions: Regret is Hard, Envy is Easy

Constantinos Daskalakis, Vasilis Syrgkanis

arxiv:1511.01411 v6 · 2015-11-04 · cs.GT · cs.AI · cs.CC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLS55TFDTIYOSWUUVNJFRJTRHH}

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	2026-05-18T01:17:37.098002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2e5decca39a30e95a94ab5258a67139ea1d659df728320746a1230cc8648ea1

Aliases

arxiv: 1511.01411 · arxiv_version: 1511.01411v6 · doi: 10.48550/arxiv.1511.01411 · pith_short_12: YLS55TFDTIYO · pith_short_16: YLS55TFDTIYOSWUU · pith_short_8: YLS55TFD

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/YLS55TFDTIYOSWUUVNJFRJTRHH \
  | 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: c2e5decca39a30e95a94ab5258a67139ea1d659df728320746a1230cc8648ea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "862610b724b9f0272c3b4828a363cf1964d71bd899ee9b1dd0a0c83f4d09f73f",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CC",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-11-04T17:39:30Z",
    "title_canon_sha256": "4348191573f77a4ffb382738db1b552686996ea4e79ae5abb5a3af68756ff562"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01411",
    "kind": "arxiv",
    "version": 6
  }
}