Pith Number

pith:RJYT3DDF

pith:2016:RJYT3DDFJAR6KXMPRX7RXNVDLX

not attested not anchored not stored refs pending

Optimal Control for Generalized Network-Flow Problems

Abhishek Sinha, Eytan Modiano

arxiv:1611.08641 v1 · 2016-11-26 · math.OC · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJYT3DDFJAR6KXMPRX7RXNVDLX}

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	2026-05-18T00:56:37.268897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a713d8c654823e55d8f8dff1bb6a35de140644b72ae043e5e822ea6903e76d5

Aliases

arxiv: 1611.08641 · arxiv_version: 1611.08641v1 · doi: 10.48550/arxiv.1611.08641 · pith_short_12: RJYT3DDFJAR6 · pith_short_16: RJYT3DDFJAR6KXMP · pith_short_8: RJYT3DDF

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/RJYT3DDFJAR6KXMPRX7RXNVDLX \
  | 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: 8a713d8c654823e55d8f8dff1bb6a35de140644b72ae043e5e822ea6903e76d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "052966dc7678337aad8c92e011d6f9bfb0ae05e311bc74d7135a53cb3d57092c",
    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-11-26T00:11:52Z",
    "title_canon_sha256": "8d4131c14a93b82ba10bd6b9b78327658d1a6a2ade3ac95c6bf44c704884f1cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08641",
    "kind": "arxiv",
    "version": 1
  }
}