Pith Number

pith:ZMVBOJAO

pith:2012:ZMVBOJAOEBDJJA5JNDO5FPWQSC

not attested not anchored not stored refs pending

Enumeration of fixed points of an involution on $\beta(1,0)$-trees

Anna de Mier, Sergey Kitaev

arxiv:1210.2618 v1 · 2012-10-09 · 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{ZMVBOJAOEBDJJA5JNDO5FPWQSC}

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	2026-05-18T03:43:41.108842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb2a17240e20469483a968ddd2bed0908932fd2afd5a953fd01051f6fc00b40e

Aliases

arxiv: 1210.2618 · arxiv_version: 1210.2618v1 · doi: 10.48550/arxiv.1210.2618 · pith_short_12: ZMVBOJAOEBDJ · pith_short_16: ZMVBOJAOEBDJJA5J · pith_short_8: ZMVBOJAO

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/ZMVBOJAOEBDJJA5JNDO5FPWQSC \
  | 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: cb2a17240e20469483a968ddd2bed0908932fd2afd5a953fd01051f6fc00b40e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e93fde7853c45c1e162bfc5e41b31bd44c2fafb39e430b5d55cb504860792ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-09T14:41:18Z",
    "title_canon_sha256": "a8bfcbc5b6d8c67aa5611069d80c8782ea66e3db61d2a1d4ef72f6da90eed8d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2618",
    "kind": "arxiv",
    "version": 1
  }
}