Pith Number

pith:QAK7FNRO

pith:2015:QAK7FNROTBZBQWVDYQJ4C445XR

not attested not anchored not stored refs pending

Envy-Free Pricing in Large Markets: Approximating Revenue and Welfare

Elliot Anshelevich, Koushik Kar, Shreyas Sekar

arxiv:1503.00340 v2 · 2015-03-01 · 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{QAK7FNROTBZBQWVDYQJ4C445XR}

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	2026-05-18T00:45:16.580828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8015f2b62e9872185aa3c413c1739dbc7236648f62d9c9e5e714fba0ea02bdff

Aliases

arxiv: 1503.00340 · arxiv_version: 1503.00340v2 · doi: 10.48550/arxiv.1503.00340 · pith_short_12: QAK7FNROTBZB · pith_short_16: QAK7FNROTBZBQWVD · pith_short_8: QAK7FNRO

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/QAK7FNROTBZBQWVDYQJ4C445XR \
  | 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: 8015f2b62e9872185aa3c413c1739dbc7236648f62d9c9e5e714fba0ea02bdff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68d753a3fbd6392e99f39822c50f47c5511e84c220035a0aaecb7f5de696daf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-03-01T19:43:04Z",
    "title_canon_sha256": "15ed2b532e079571986d6cd0514d9d639627e8bd8dba452df40a85999a584695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00340",
    "kind": "arxiv",
    "version": 2
  }
}