Pith Number

pith:ZJULAJ2V

pith:2011:ZJULAJ2VEJVKZ3NIQWJVJMTWVT

not attested not anchored not stored refs pending

Dense subsets of products of finite trees

Konstantinos Tyros, Pandelis Dodos, Vassilis Kanellopoulos

arxiv:1105.2419 v2 · 2011-05-12 · 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{ZJULAJ2VEJVKZ3NIQWJVJMTWVT}

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	2026-05-18T03:30:28.307994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca68b02755226aaceda8859354b276acdc67b5691c48575525233dc6a67cfc5e

Aliases

arxiv: 1105.2419 · arxiv_version: 1105.2419v2 · doi: 10.48550/arxiv.1105.2419 · pith_short_12: ZJULAJ2VEJVK · pith_short_16: ZJULAJ2VEJVKZ3NI · pith_short_8: ZJULAJ2V

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/ZJULAJ2VEJVKZ3NIQWJVJMTWVT \
  | 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: ca68b02755226aaceda8859354b276acdc67b5691c48575525233dc6a67cfc5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa955108ca6ca08cefe7df26120c8d77ee2aca7bdba651810ae62cce4d0efb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-12T10:47:38Z",
    "title_canon_sha256": "8370fda16c56a71b243dc04a54856de6e381f8e638f8cf374a9b76a7aa1c1716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2419",
    "kind": "arxiv",
    "version": 2
  }
}