Pith Number

pith:S6OZEDVP

pith:2016:S6OZEDVPDM4J4VFNPNTJ37J7TU

not attested not anchored not stored refs pending

Statistics on bargraphs viewed as cornerless Motzkin paths

Emeric Deutsch, Sergi Elizalde

arxiv:1609.00088 v1 · 2016-09-01 · 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{S6OZEDVPDM4J4VFNPNTJ37J7TU}

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	2026-05-18T01:06:28.026083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

979d920eaf1b389e54ad7b669dfd3f9d26627db827678bbf738cf99a22bf84ce

Aliases

arxiv: 1609.00088 · arxiv_version: 1609.00088v1 · doi: 10.48550/arxiv.1609.00088 · pith_short_12: S6OZEDVPDM4J · pith_short_16: S6OZEDVPDM4J4VFN · pith_short_8: S6OZEDVP

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/S6OZEDVPDM4J4VFNPNTJ37J7TU \
  | 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: 979d920eaf1b389e54ad7b669dfd3f9d26627db827678bbf738cf99a22bf84ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6b812703ef79a035702ddad0a4a2d96821d333e1f4ee686cc2cda169074b45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-01T02:15:33Z",
    "title_canon_sha256": "d1fda243d96bcc3ffd653549809ee70372fd6f923c16e42953789f1526a1e69f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00088",
    "kind": "arxiv",
    "version": 1
  }
}