Pith Number

pith:IKJUNDZ4

pith:2010:IKJUNDZ4WEWER3H2YHCNVGXMNM

not attested not anchored not stored refs pending

Catalan structures and Catalan pairs

Filippo Disanto, Renzo Pinzani, Simone Rinaldi, Stefano Bilotta

arxiv:1011.3708 v1 · 2010-11-16 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKJUNDZ4WEWER3H2YHCNVGXMNM}

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	2026-05-18T04:35:48.256249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4293468f3cb12c48ecfac1c4da9aec6b24bb285b3d0efdb779480ac0a6c749bd

Aliases

arxiv: 1011.3708 · arxiv_version: 1011.3708v1 · doi: 10.48550/arxiv.1011.3708 · pith_short_12: IKJUNDZ4WEWE · pith_short_16: IKJUNDZ4WEWER3H2 · pith_short_8: IKJUNDZ4

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/IKJUNDZ4WEWER3H2YHCNVGXMNM \
  | 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: 4293468f3cb12c48ecfac1c4da9aec6b24bb285b3d0efdb779480ac0a6c749bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed432ee4b00b07841f986800f593c344c32b8c0422e398502db6f43d4568e1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-11-16T14:42:05Z",
    "title_canon_sha256": "9b08b9fe5611076ce859c6fed1d11656f61a43f3b8de05b17d497338a9d12dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3708",
    "kind": "arxiv",
    "version": 1
  }
}