Pith Number

pith:3BYVEFR5

pith:2017:3BYVEFR54MXE5FV2TLYDFSJBFF

not attested not anchored not stored refs pending

On constant multi-commodity flow-cut gaps for directed minor-free graphs

Anastasios Sidiropoulos, Ario Salmasi, Vijay Sridhar

arxiv:1711.01370 v1 · 2017-11-04 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BYVEFR54MXE5FV2TLYDFSJBFF}

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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.

Cited by

1 paper in Pith

Improved Upper Bounds for the Directed Flow-Cut Gap

Receipt and verification

First computed	2026-05-18T00:31:18.037211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d87152163de32e4e96ba9af032c921296b5e59f56ae74da557e9dd0792cb23e8

Aliases

arxiv: 1711.01370 · arxiv_version: 1711.01370v1 · doi: 10.48550/arxiv.1711.01370 · pith_short_12: 3BYVEFR54MXE · pith_short_16: 3BYVEFR54MXE5FV2 · pith_short_8: 3BYVEFR5

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/3BYVEFR54MXE5FV2TLYDFSJBFF \
  | 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: d87152163de32e4e96ba9af032c921296b5e59f56ae74da557e9dd0792cb23e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6723b7be2aa8e84356d5299e81f3fceaf09f0b79206e10ed701f47939de21de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-11-04T00:38:57Z",
    "title_canon_sha256": "8346cee66cc9c86fa9f61e7d074bad82025ad4cb64e89ceebfcbbf59c1ea552f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01370",
    "kind": "arxiv",
    "version": 1
  }
}