Pith Number

pith:FIHAO5KG

pith:2021:FIHAO5KGDWRBHRQ3ZXJN6O6YAN

not attested not anchored not stored refs pending

Improved Upper Bound on the Linear Tur\'an Number of the Crown

Willem Fletcher

arxiv:2109.02729 v1 · 2021-09-06 · 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{FIHAO5KGDWRBHRQ3ZXJN6O6YAN}

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.

Cited by

2 papers in Pith

Bounds on Linear Tur\'{a}n Number for Trees

An Upper Bound on the Linear Tur\'{a}n Number of $k$-Crowns

Receipt and verification

First computed	2026-07-05T03:12:18.466850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a0e0775461da213c61bcdd2df3bd80363f8710ae6f9ed7ba7dab2ed39c30a5f

Aliases

arxiv: 2109.02729 · arxiv_version: 2109.02729v1 · doi: 10.48550/arxiv.2109.02729 · pith_short_12: FIHAO5KGDWRB · pith_short_16: FIHAO5KGDWRBHRQ3 · pith_short_8: FIHAO5KG

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/FIHAO5KGDWRBHRQ3ZXJN6O6YAN \
  | 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: 2a0e0775461da213c61bcdd2df3bd80363f8710ae6f9ed7ba7dab2ed39c30a5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54aef0e835dbe50448429ed163b1a72a7cbe32a2894974a03a859abce4f4b76b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-09-06T20:48:37Z",
    "title_canon_sha256": "675d1505f640629b977cdf816c94b2f1b2d2712aac87ef16336e235d7ffb93db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.02729",
    "kind": "arxiv",
    "version": 1
  }
}