Pith Number

pith:MVCWKW3J

pith:2018:MVCWKW3JZHJKJNFYZASNPE4UQR

not attested not anchored not stored refs pending

The complexity of separation for levels in concatenation hierarchies

Marc Zeitoun, Thomas Place

arxiv:1810.09287 v1 · 2018-10-22 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVCWKW3JZHJKJNFYZASNPE4UQR}

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	2026-05-18T00:02:40.580512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6545655b69c9d2a4b4b8c824d7939484782dac1d53fa5f058d7cf9c9b26b5d48

Aliases

arxiv: 1810.09287 · arxiv_version: 1810.09287v1 · doi: 10.48550/arxiv.1810.09287 · pith_short_12: MVCWKW3JZHJK · pith_short_16: MVCWKW3JZHJKJNFY · pith_short_8: MVCWKW3J

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/MVCWKW3JZHJKJNFYZASNPE4UQR \
  | 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: 6545655b69c9d2a4b4b8c824d7939484782dac1d53fa5f058d7cf9c9b26b5d48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deb689db403f7135e0bd6cc65d17bf97df81617f411c3054d36e5b080fd17df5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2018-10-22T13:49:34Z",
    "title_canon_sha256": "81e0173239813aa7de35da5cdd04a7ef4ce70abe9ac94e3183c4656b0e6fb065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09287",
    "kind": "arxiv",
    "version": 1
  }
}