pith. sign in
Pith Number

pith:CWU47BIV

pith:2017:CWU47BIVWUNMUHSCXS2MPBJ3TE
not attested not anchored not stored refs pending

Improved Bounds for the Graham-Pollak Problem for Hypergraphs

Imre Leader, Ta Sheng Tan

arxiv:1708.01898 v1 · 2017-08-06 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CWU47BIVWUNMUHSCXS2MPBJ3TE}

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 2026-05-18T00:38:32.824836Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

15a9cf8515b51aca1e42bcb4c7853b9932c56bf5c3dd3cd91b8f85b2093f36e0

Aliases

arxiv: 1708.01898 · arxiv_version: 1708.01898v1 · doi: 10.48550/arxiv.1708.01898 · pith_short_12: CWU47BIVWUNM · pith_short_16: CWU47BIVWUNMUHSC · pith_short_8: CWU47BIV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CWU47BIVWUNMUHSCXS2MPBJ3TE \
  | 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: 15a9cf8515b51aca1e42bcb4c7853b9932c56bf5c3dd3cd91b8f85b2093f36e0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "487b19d21ef10f33e78e2a201edd33a63bc73ba00829bc8b4ceaa7975ba8e9b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-06T14:49:00Z",
    "title_canon_sha256": "3dbd07ad9ff989c5a5da951f01d516023e92b0d8cf68ed9e0ed2d73aed74e34f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01898",
    "kind": "arxiv",
    "version": 1
  }
}