Pith Number

pith:SI2Z6FDM

pith:2017:SI2Z6FDM7TTZ2JTCOMMXT74G7B

not attested not anchored not stored refs pending

A bijection between bargraphs and Dyck paths

Emeric Deutsch, Sergi Elizalde

arxiv:1705.05984 v1 · 2017-05-17 · 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{SI2Z6FDM7TTZ2JTCOMMXT74G7B}

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	2026-05-18T00:44:19.292523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92359f146cfce79d2662731979ff86f87771522ff00b3315c9429aac8856c05c

Aliases

arxiv: 1705.05984 · arxiv_version: 1705.05984v1 · doi: 10.48550/arxiv.1705.05984 · pith_short_12: SI2Z6FDM7TTZ · pith_short_16: SI2Z6FDM7TTZ2JTC · pith_short_8: SI2Z6FDM

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/SI2Z6FDM7TTZ2JTCOMMXT74G7B \
  | 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: 92359f146cfce79d2662731979ff86f87771522ff00b3315c9429aac8856c05c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48db532fd61c5a3d21b30e159941934c0996dc1af9ce12d769b8c262da7ebb55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-17T02:17:07Z",
    "title_canon_sha256": "1ccb7e2614e19ebf9c4bd2ed54748191b1b80f45ff1f1b071348e94b2f3acb50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05984",
    "kind": "arxiv",
    "version": 1
  }
}