Pith Number

pith:AYQVPF3G

pith:2009:AYQVPF3G77BSTR7ALJ4DTU4IW2

not attested not anchored not stored refs pending

On linear balancing sets

Arya Mazumdar, Pascal O. Vontobel, Ron M. Roth

arxiv:0901.3170 v2 · 2009-01-21 · cs.IT · cs.DM · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYQVPF3G77BSTR7ALJ4DTU4IW2}

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	2026-05-18T04:33:16.218147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0621579766ffc329c7e05a7839d388b68a5f9d96b5649028ae7abcfd1590045d

Aliases

arxiv: 0901.3170 · arxiv_version: 0901.3170v2 · doi: 10.48550/arxiv.0901.3170 · pith_short_12: AYQVPF3G77BS · pith_short_16: AYQVPF3G77BSTR7A · pith_short_8: AYQVPF3G

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/AYQVPF3G77BSTR7ALJ4DTU4IW2 \
  | 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: 0621579766ffc329c7e05a7839d388b68a5f9d96b5649028ae7abcfd1590045d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40e130d39fc43819f37a927cb1854bdad6e129f6cc7725a4d506a4c7ccfe1f90",
    "cross_cats_sorted": [
      "cs.DM",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-01-21T05:22:03Z",
    "title_canon_sha256": "db9e98bae3b6acabf9d2d12503c624f21cad0e82fb4fcaf93a58f10bd2aa740f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3170",
    "kind": "arxiv",
    "version": 2
  }
}