Pith Number

pith:AIYQ4TQW

pith:2011:AIYQ4TQWDKZGIDMQ2NZDRT4BQ4

not attested not anchored not stored refs pending

The bottleneck 2-connected $k$-Steiner network problem for $k\leq 2$

C.J. Ras, D.A. Thomas, M. Brazil

arxiv:1108.3655 v1 · 2011-08-18 · math.CO · 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{AIYQ4TQWDKZGIDMQ2NZDRT4BQ4}

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	2026-05-18T03:36:04.934113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02310e4e161ab2640d90d37238cf818732f34f00f1a7fdf1d42993f814287bcc

Aliases

arxiv: 1108.3655 · arxiv_version: 1108.3655v1 · doi: 10.48550/arxiv.1108.3655 · pith_short_12: AIYQ4TQWDKZG · pith_short_16: AIYQ4TQWDKZGIDMQ · pith_short_8: AIYQ4TQW

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/AIYQ4TQWDKZGIDMQ2NZDRT4BQ4 \
  | 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: 02310e4e161ab2640d90d37238cf818732f34f00f1a7fdf1d42993f814287bcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74464c86e8d83f2d2993bf4e2d633bea9924b3424088c47941fa79055ff7a7e5",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-18T06:15:35Z",
    "title_canon_sha256": "4bc3f749fa363a2887e441fe84d857c1c30589d09fdd1974ba89ee9b4acd1021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3655",
    "kind": "arxiv",
    "version": 1
  }
}