Pith Number

pith:2VNG3HEM

pith:2012:2VNG3HEM2N7V2CLZFFHINIWI5I

not attested not anchored not stored refs pending

A Bijection on Bilateral Dyck Paths

Paul R. G. Mortimer, Thomas Prellberg

arxiv:1208.3061 v3 · 2012-08-15 · 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{2VNG3HEM2N7V2CLZFFHINIWI5I}

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	2026-05-18T03:01:22.302673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55a6d9c8cd37f5d0979294e86a2c8ea17a37f77734de5db1f1ef1c66f8d921b

Aliases

arxiv: 1208.3061 · arxiv_version: 1208.3061v3 · doi: 10.48550/arxiv.1208.3061 · pith_short_12: 2VNG3HEM2N7V · pith_short_16: 2VNG3HEM2N7V2CLZ · pith_short_8: 2VNG3HEM

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/2VNG3HEM2N7V2CLZFFHINIWI5I \
  | 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: d55a6d9c8cd37f5d0979294e86a2c8ea17a37f77734de5db1f1ef1c66f8d921b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c012a87e95d7ba2853d90c59090f41fa7d56951d73a8c0d58a8f8278af8db3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-15T08:42:05Z",
    "title_canon_sha256": "3dd232b493e6bd2985b884aa63fbbe4f117e491d09dbdd445b34e8858bbddc5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3061",
    "kind": "arxiv",
    "version": 3
  }
}