Pith Number

pith:PVCCKT4G

pith:2016:PVCCKT4GO5KL64MRPJNEJUGLSK

not attested not anchored not stored refs pending

An Integer Interior Point Method for Min-Cost Flow Using Arc Contractions and Deletions

Andreas Karrenbauer, Kurt Mehlhorn, Ruben Becker

arxiv:1612.04689 v1 · 2016-12-14 · cs.DS · math.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVCCKT4GO5KL64MRPJNEJUGLSK}

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	2026-05-18T00:54:58.830416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d44254f867754bf71917a5a44d0cb92915da02fa5248ab54506beac43f66f65

Aliases

arxiv: 1612.04689 · arxiv_version: 1612.04689v1 · doi: 10.48550/arxiv.1612.04689 · pith_short_12: PVCCKT4GO5KL · pith_short_16: PVCCKT4GO5KL64MR · pith_short_8: PVCCKT4G

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/PVCCKT4GO5KL64MRPJNEJUGLSK \
  | 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: 7d44254f867754bf71917a5a44d0cb92915da02fa5248ab54506beac43f66f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e9594642916e065762cb878da0c2abfe9791b0c6bd3a82cbc28f4fd49b2d6a3",
    "cross_cats_sorted": [
      "math.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-12-14T15:25:50Z",
    "title_canon_sha256": "4c63615301b4f1fab3064116db38cf199f6f1ac19b50281a96549af3d01a6718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04689",
    "kind": "arxiv",
    "version": 1
  }
}