Pith Number

pith:VNOSRTAS

pith:2013:VNOSRTAS54W4ASWPVVL3ZORQ53

not attested not anchored not stored refs pending

Knapsack Problems in Groups

Alexander Ushakov, Alexei Myasnikov, Andrey Nikolaev

arxiv:1302.5671 v1 · 2013-02-22 · math.GR · cs.CC · 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{VNOSRTAS54W4ASWPVVL3ZORQ53}

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	2026-05-18T01:35:33.185573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab5d28cc12ef2dc04acfad57bcba30eed8e09ea0c753aa83c2f4a9d5faa12c29

Aliases

arxiv: 1302.5671 · arxiv_version: 1302.5671v1 · doi: 10.48550/arxiv.1302.5671 · pith_short_12: VNOSRTAS54W4 · pith_short_16: VNOSRTAS54W4ASWP · pith_short_8: VNOSRTAS

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/VNOSRTAS54W4ASWPVVL3ZORQ53 \
  | 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: ab5d28cc12ef2dc04acfad57bcba30eed8e09ea0c753aa83c2f4a9d5faa12c29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a954a321c77c7b30fde3ee6d73cc0dfab784692c9c6cdcd76b3b3dae6a3a66b8",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-22T18:36:27Z",
    "title_canon_sha256": "9ae8ec545d6f496bd827c919842c7c05d9bd3c611b4f69d183c6570b3246ed9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5671",
    "kind": "arxiv",
    "version": 1
  }
}