Pith Number

pith:T6KRRLC6

pith:2024:T6KRRLC64MKIMOMIE2R4QVF2GQ

not attested not anchored not stored refs pending

On codegree Tur\'an density of the 3-uniform tight cycle $C_{11}$

Jie Ma

arxiv:2409.02765 v1 · 2024-09-04 · 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{T6KRRLC64MKIMOMIE2R4QVF2GQ}

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	2026-07-05T09:03:09.846071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f9518ac5ee31486398826a3c854ba342796864878a104945abc035bbfbd3e0b

Aliases

arxiv: 2409.02765 · arxiv_version: 2409.02765v1 · doi: 10.48550/arxiv.2409.02765 · pith_short_12: T6KRRLC64MKI · pith_short_16: T6KRRLC64MKIMOMI · pith_short_8: T6KRRLC6

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/T6KRRLC64MKIMOMIE2R4QVF2GQ \
  | 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: 9f9518ac5ee31486398826a3c854ba342796864878a104945abc035bbfbd3e0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0785b6e236022fb3dadc82ff1eb33bfed5974bd4a7943fa1e39b5eea89d4c090",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-04T14:40:31Z",
    "title_canon_sha256": "bbe87c743cd877a0e7bf1b79a4a70b980a9dc12b96ab1b27c0b3f681530ae7ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.02765",
    "kind": "arxiv",
    "version": 1
  }
}