Pith Number

pith:6EJC3GMZ

pith:2009:6EJC3GMZO4AKSKIP7YEUUTX3SQ

not attested not anchored not stored refs pending

Network Coding for Computing: Cut-Set Bounds

Ken Zeger, Massimo Franceschetti, Nikhil Karamchandani, Rathinakumar Appuswamy

arxiv:0912.2820 v3 · 2009-12-15 · cs.IT · 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{6EJC3GMZO4AKSKIP7YEUUTX3SQ}

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	2026-05-18T00:57:57.978120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1122d99997700a9290ffe094a4efb9405b284fd07ecd4122eab91ce0506d9f4

Aliases

arxiv: 0912.2820 · arxiv_version: 0912.2820v3 · doi: 10.48550/arxiv.0912.2820 · pith_short_12: 6EJC3GMZO4AK · pith_short_16: 6EJC3GMZO4AKSKIP · pith_short_8: 6EJC3GMZ

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/6EJC3GMZO4AKSKIP7YEUUTX3SQ \
  | 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: f1122d99997700a9290ffe094a4efb9405b284fd07ecd4122eab91ce0506d9f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8152cb6a47cfd3ec9ca0297b096ca73aa1316409581548fc8382d473f37428a8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-12-15T08:51:53Z",
    "title_canon_sha256": "4f23da0a78ba450d561a8074cd50e19580fe7d5f4e2f761fd472f34585c3e60c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2820",
    "kind": "arxiv",
    "version": 3
  }
}