Pith Number

pith:YA2V3NAE

pith:2016:YA2V3NAETBOLGZS7HT3INGUHN3

not attested not anchored not stored refs pending

On a lower bound for sorting signed permutations by reversals

Andrei C. Bura, Christian M. Reidys, Ricky X. F. Chen

arxiv:1602.00778 v2 · 2016-02-02 · 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{YA2V3NAETBOLGZS7HT3INGUHN3}

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	2026-05-18T00:41:53.771819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0355db404985cb3665f3cf6869a876efefc536fc1a19819ba881e5d2f4d2e5b

Aliases

arxiv: 1602.00778 · arxiv_version: 1602.00778v2 · doi: 10.48550/arxiv.1602.00778 · pith_short_12: YA2V3NAETBOL · pith_short_16: YA2V3NAETBOLGZS7 · pith_short_8: YA2V3NAE

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/YA2V3NAETBOLGZS7HT3INGUHN3 \
  | 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: c0355db404985cb3665f3cf6869a876efefc536fc1a19819ba881e5d2f4d2e5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c4ed946eefd4ea079cf238ef96c826cbaac04e8a2ed2cbca19db93557f174b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-02T03:26:52Z",
    "title_canon_sha256": "8cae67694cf40560058dfa7f19f2e1e0231bd355e2e8414bc3b55399c9a1d0eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00778",
    "kind": "arxiv",
    "version": 2
  }
}