Pith Number

pith:DTBLG2HO

pith:2015:DTBLG2HO3QDVVEX3RM24U5EVVR

not attested not anchored not stored refs pending

Tur\'an numbers for 3-uniform linear paths of length 3

Andrzej Ruci\'nski, Eliza Jackowska, Joanna Polcyn

arxiv:1506.03759 v1 · 2015-06-11 · 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{DTBLG2HO3QDVVEX3RM24U5EVVR}

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	2026-05-18T01:53:03.376350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cc2b368eedc075a92fb8b35ca7495ac5d262893355c7d43c4cec482efc808d5

Aliases

arxiv: 1506.03759 · arxiv_version: 1506.03759v1 · doi: 10.48550/arxiv.1506.03759 · pith_short_12: DTBLG2HO3QDV · pith_short_16: DTBLG2HO3QDVVEX3 · pith_short_8: DTBLG2HO

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/DTBLG2HO3QDVVEX3RM24U5EVVR \
  | 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: 1cc2b368eedc075a92fb8b35ca7495ac5d262893355c7d43c4cec482efc808d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86de6c3f8c7d0f66cf9dd750b466eac764a8eb9ac83c82b8a1f947aadae90ea1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-11T18:01:43Z",
    "title_canon_sha256": "3e67b3d09b476b45ce8b4d37138d18962c04bc8a5ee98ab921c7d9e43a4d9508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03759",
    "kind": "arxiv",
    "version": 1
  }
}