Pith Number

pith:CAG4SL4X

pith:2014:CAG4SL4XPUZHROCKQZE2YYG7LP

not attested not anchored not stored refs pending

A Unifying Hierarchy of Valuations with Complements and Substitutes

Brendan Lucier, Michal Feldman, Nicole Immorlica, Rani Izsak, Uriel Feige, Vasilis Syrgkanis

arxiv:1408.1211 v1 · 2014-08-06 · cs.GT · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAG4SL4XPUZHROCKQZE2YYG7LP}

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	2026-05-18T02:45:47.941291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100dc92f977d3278b84a8649ac60df5bfe671dc533aa60d72b0e76624ac4564c

Aliases

arxiv: 1408.1211 · arxiv_version: 1408.1211v1 · doi: 10.48550/arxiv.1408.1211 · pith_short_12: CAG4SL4XPUZH · pith_short_16: CAG4SL4XPUZHROCK · pith_short_8: CAG4SL4X

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/CAG4SL4XPUZHROCKQZE2YYG7LP \
  | 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: 100dc92f977d3278b84a8649ac60df5bfe671dc533aa60d72b0e76624ac4564c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca1bf0f596fd8c47742ac8d96e8d9a64c74bc60eb0b4d40c87fedefa7978d96",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2014-08-06T08:37:36Z",
    "title_canon_sha256": "941be3fd6fc6015192bc75158e5e6f4c59caf22f5ae579c3954551080bf1612a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1211",
    "kind": "arxiv",
    "version": 1
  }
}