Pith Number

pith:AFZSAGVZ

pith:2017:AFZSAGVZWC5SMRPMQVEVKXSJIB

not attested not anchored not stored refs pending

Extrema Property of the $k$-Ranking of Directed Paths and Cycles

Breeanne Baker Swart, Darren A. Narayan, George L. Rudolph, Rigoberto Fl\'orez

arxiv:1702.02142 v1 · 2017-02-07 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFZSAGVZWC5SMRPMQVEVKXSJIB}

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	2026-05-18T00:51:06.654034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0173201ab9b0bb2645ec8549555e49406196398c45e0926e39f2cca1cb93c75a

Aliases

arxiv: 1702.02142 · arxiv_version: 1702.02142v1 · doi: 10.48550/arxiv.1702.02142 · pith_short_12: AFZSAGVZWC5S · pith_short_16: AFZSAGVZWC5SMRPM · pith_short_8: AFZSAGVZ

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/AFZSAGVZWC5SMRPMQVEVKXSJIB \
  | 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: 0173201ab9b0bb2645ec8549555e49406196398c45e0926e39f2cca1cb93c75a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd1a88a386d256f5086569def84b870fb333f4447ff5ef58877f405bf2089ca4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-07T15:33:36Z",
    "title_canon_sha256": "3a1e06d886fda75841cc1daf9720f5c3fc2b6a506b5bacb5c5f2d121ea34faae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02142",
    "kind": "arxiv",
    "version": 1
  }
}