Pith Number

pith:URQYJ57F

pith:2014:URQYJ57FJAMMKHZS4ZKBLOP77H

not attested not anchored not stored refs pending

Tur\'an's problem for trees $T_n$ with maximal degree $n-4$

Yin-Yin Tu, Zhi-Hong Sun

arxiv:1410.7282 v1 · 2014-10-27 · 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{URQYJ57FJAMMKHZS4ZKBLOP77H}

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	2026-05-18T02:39:17.649360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a46184f7e54818c51f32e65415b9fff9ecca5aaa8313227e8ad98a3094bcd185

Aliases

arxiv: 1410.7282 · arxiv_version: 1410.7282v1 · doi: 10.48550/arxiv.1410.7282 · pith_short_12: URQYJ57FJAMM · pith_short_16: URQYJ57FJAMMKHZS · pith_short_8: URQYJ57F

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/URQYJ57FJAMMKHZS4ZKBLOP77H \
  | 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: a46184f7e54818c51f32e65415b9fff9ecca5aaa8313227e8ad98a3094bcd185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927c2856ceac27d53f0790e2f96b6eb4d3462bfa0f305548d7b628d5916d37bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-27T15:52:00Z",
    "title_canon_sha256": "d3429361331fa6cc41b2dd88001ace9aaa5b5d62bcb0a1f08caf4a8bead3cac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7282",
    "kind": "arxiv",
    "version": 1
  }
}