Pith Number

pith:WCIY3SOB

pith:2015:WCIY3SOB4MIBFLB6Q6DDBND7VD

not attested not anchored not stored refs pending

A New Class of Combinatorial Markets with Covering Constraints: Algorithms and Applications

Jugal Garg, Nikhil Devanur, Ruta Mehta, Sadra Yazdanbod, Vijay V. Vazirani

arxiv:1511.08748 v2 · 2015-11-27 · 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{WCIY3SOB4MIBFLB6Q6DDBND7VD}

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	2026-05-18T00:46:22.637761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0918dc9c1e31012ac3e878630b47fa8e1874fbb933718512c9c222f81bbc94c

Aliases

arxiv: 1511.08748 · arxiv_version: 1511.08748v2 · doi: 10.48550/arxiv.1511.08748 · pith_short_12: WCIY3SOB4MIB · pith_short_16: WCIY3SOB4MIBFLB6 · pith_short_8: WCIY3SOB

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/WCIY3SOB4MIBFLB6Q6DDBND7VD \
  | 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: b0918dc9c1e31012ac3e878630b47fa8e1874fbb933718512c9c222f81bbc94c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfc6762a147209bed3170eb3d07c634af9e0ce1dc3cf88e61659ae281d81be1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-11-27T17:16:15Z",
    "title_canon_sha256": "e03cfedc660e899b783b4a23fb002a76e5a2960e921f3d24dddd3e8647e4fc92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08748",
    "kind": "arxiv",
    "version": 2
  }
}