Pith Number

pith:ITY24MRF

pith:2024:ITY24MRFAMYFJ7F2L3D6PSSSKR

not attested not anchored not stored refs pending

A Brualdi-Hoffman-Tur\'{a}n problem for friendship graph

Fan Chen, Xiying Yuan

arxiv:2409.14138 v1 · 2024-09-21 · 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{ITY24MRFAMYFJ7F2L3D6PSSSKR}

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	2026-07-05T09:10:12.234119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44f1ae3225033054fcba5ec7e7ca525456f3532ee2e4318b1ccf1c3b4811aff6

Aliases

arxiv: 2409.14138 · arxiv_version: 2409.14138v1 · doi: 10.48550/arxiv.2409.14138 · pith_short_12: ITY24MRFAMYF · pith_short_16: ITY24MRFAMYFJ7F2 · pith_short_8: ITY24MRF

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/ITY24MRFAMYFJ7F2L3D6PSSSKR \
  | 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: 44f1ae3225033054fcba5ec7e7ca525456f3532ee2e4318b1ccf1c3b4811aff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85debd10df40ed1897dd28df800657ed8dc5a41d510761c1c682b9ee3e890a5b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-21T13:30:34Z",
    "title_canon_sha256": "1316b5ca03114b81a7edbebcb317664e49de85a20162693802c4d52175fb6951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.14138",
    "kind": "arxiv",
    "version": 1
  }
}