Pith Number

pith:P4PCZWCL

pith:2015:P4PCZWCLHSNKXCR6HHNHGV4MJI

not attested not anchored not stored refs pending

Fairest Constant Sum-rate Transmission for Cooperative Data Exchange: An M-convex Minimization Approach

Ni Ding, Parastoo Sadeghi, Rodney A. Kennedy

arxiv:1502.03517 v1 · 2015-02-12 · cs.IT · cs.DM · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4PCZWCLHSNKXCR6HHNHGV4MJI}

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	2026-05-18T02:27:17.645622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1e2cd84b3c9aab8a3e39da73578c4a1d504eab31e3667c4a2775d5d43e4c31

Aliases

arxiv: 1502.03517 · arxiv_version: 1502.03517v1 · doi: 10.48550/arxiv.1502.03517 · pith_short_12: P4PCZWCLHSNK · pith_short_16: P4PCZWCLHSNKXCR6 · pith_short_8: P4PCZWCL

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/P4PCZWCLHSNKXCR6HHNHGV4MJI \
  | 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: 7f1e2cd84b3c9aab8a3e39da73578c4a1d504eab31e3667c4a2775d5d43e4c31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e71cfe4556c6cd7f97b24c32230fb1bdb90e30bf4662430e04314e5a9bb32b6",
    "cross_cats_sorted": [
      "cs.DM",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-02-12T02:22:40Z",
    "title_canon_sha256": "4fdcf8067922fcb4b6147f9846a5986dd1297dd6cdc20c5fb66c3db713318e15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03517",
    "kind": "arxiv",
    "version": 1
  }
}