Pith Number

pith:5L66DVEY

pith:2018:5L66DVEY3EIIEV54EVE7DRAGLQ

not attested not anchored not stored refs pending

Mobile Social Services with Network Externality: From Separate Pricing to Bundled Pricing

Junshan Zhang, Lingjie Duan, Xuehe Wang

arxiv:1803.07496 v1 · 2018-03-20 · 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{5L66DVEY3EIIEV54EVE7DRAGLQ}

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	2026-05-18T00:20:33.018538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eafde1d498d9108257bc2549f1c4065c250564a81fdf65168a2ac8b04c8858e3

Aliases

arxiv: 1803.07496 · arxiv_version: 1803.07496v1 · doi: 10.48550/arxiv.1803.07496 · pith_short_12: 5L66DVEY3EII · pith_short_16: 5L66DVEY3EIIEV54 · pith_short_8: 5L66DVEY

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/5L66DVEY3EIIEV54EVE7DRAGLQ \
  | 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: eafde1d498d9108257bc2549f1c4065c250564a81fdf65168a2ac8b04c8858e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d349cfcf4ebf267cd8e1b292f90eba65a81574eaea7ef7ab8b5477f38dcf4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2018-03-20T15:49:36Z",
    "title_canon_sha256": "8b1a16e76a72b1a1f65b928be0235d18b77ddc2f29c6d4b2c96670b53d40f5b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07496",
    "kind": "arxiv",
    "version": 1
  }
}