Pith Number

pith:5HKEHMSN

pith:2015:5HKEHMSNDTODLNI66AJL4LXP7G

not attested not anchored not stored refs pending

Estimating Minimum Sum-rate for Cooperative Data Exchange

Ni Ding, Parastoo Sadeghi, Rodney A. Kennedy

arxiv:1502.03518 v4 · 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{5HKEHMSNDTODLNI66AJL4LXP7G}

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	2026-05-18T01:36:38.464103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9d443b24d1cdc35b51ef012be2eeff988cab09145a025936f0396b3eca52f25

Aliases

arxiv: 1502.03518 · arxiv_version: 1502.03518v4 · doi: 10.48550/arxiv.1502.03518 · pith_short_12: 5HKEHMSNDTOD · pith_short_16: 5HKEHMSNDTODLNI6 · pith_short_8: 5HKEHMSN

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/5HKEHMSNDTODLNI66AJL4LXP7G \
  | 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: e9d443b24d1cdc35b51ef012be2eeff988cab09145a025936f0396b3eca52f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60e59579f74eaf3729849c8b6bf4924e9f9fb8562ff6643f5966e63a814ae561",
    "cross_cats_sorted": [
      "cs.DM",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-02-12T02:29:00Z",
    "title_canon_sha256": "c296f74782efa10c98300a85bc50b2da16ff00badcdac424e3e7f88dff4b9735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03518",
    "kind": "arxiv",
    "version": 4
  }
}