Pith Number

pith:NAMBBZVV

pith:2014:NAMBBZVVCKF2WEOUSIGPYHCQIL

not attested not anchored not stored refs pending

On the longest k-alternating subsequence

Igor Pak, Robin Pemantle

arxiv:1406.5207 v1 · 2014-06-19 · 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{NAMBBZVVCKF2WEOUSIGPYHCQIL}

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	2026-05-18T02:49:19.688638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

681810e6b5128bab11d4920cfc1c5042fc0fa14f2ae51b4f9f8e76ce854a7030

Aliases

arxiv: 1406.5207 · arxiv_version: 1406.5207v1 · doi: 10.48550/arxiv.1406.5207 · pith_short_12: NAMBBZVVCKF2 · pith_short_16: NAMBBZVVCKF2WEOU · pith_short_8: NAMBBZVV

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/NAMBBZVVCKF2WEOUSIGPYHCQIL \
  | 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: 681810e6b5128bab11d4920cfc1c5042fc0fa14f2ae51b4f9f8e76ce854a7030

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bc2c43d84035255886ad9d22ce8bd71f9826d46d7c7a25243c0e13ce2791ca7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-19T20:34:21Z",
    "title_canon_sha256": "248fccb882cd97e75cc70c4036a499bbcfeaa940ca732c0fa3b3baf72239cb0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5207",
    "kind": "arxiv",
    "version": 1
  }
}