Pith Number

pith:6JDPB42A

pith:2016:6JDPB42A5OZCIOGWCQFXPWVTNQ

not attested not anchored not stored refs pending

Constrained Linear Representability of Polymatroids and Algorithms for Computing Achievability Proofs in Network Coding

Jayant Apte, John MacLaren Walsh

arxiv:1605.04598 v2 · 2016-05-15 · 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{6JDPB42A5OZCIOGWCQFXPWVTNQ}

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	2026-05-18T00:51:34.090857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f246f0f340ebb22438d6140b77dab36c00573719761b0340238b45e3640be684

Aliases

arxiv: 1605.04598 · arxiv_version: 1605.04598v2 · doi: 10.48550/arxiv.1605.04598 · pith_short_12: 6JDPB42A5OZC · pith_short_16: 6JDPB42A5OZCIOGW · pith_short_8: 6JDPB42A

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/6JDPB42A5OZCIOGWCQFXPWVTNQ \
  | 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: f246f0f340ebb22438d6140b77dab36c00573719761b0340238b45e3640be684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e04940bf3f835b1c0d18702818f86620a65e647b6061c2baea1eaa10a7811a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-05-15T19:48:50Z",
    "title_canon_sha256": "6203dcbf5dd632f149e28c1bb009bcafe6abed48a41180e4fd253c65ebe90aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04598",
    "kind": "arxiv",
    "version": 2
  }
}