pith. sign in
Pith Number

pith:6NFXTX5P

pith:2014:6NFXTX5PNN47JU7PB4RHM5LTBE
not attested not anchored not stored refs pending

Lines, betweenness and metric spaces

Cathryn Supko, Guangda Huzhang, Pierre Aboulker, Rohan Kapadia, Xiaomin Chen

arxiv:1412.8283 v1 · 2014-12-29 · math.CO · math.MG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6NFXTX5PNN47JU7PB4RHM5LTBE}

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 2026-05-18T02:30:23.583747Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f34b79dfaf6b79f4d3ef0f22767573091df6d24979b1119e1de0478ddc0ecf6a

Aliases

arxiv: 1412.8283 · arxiv_version: 1412.8283v1 · doi: 10.48550/arxiv.1412.8283 · pith_short_12: 6NFXTX5PNN47 · pith_short_16: 6NFXTX5PNN47JU7P · pith_short_8: 6NFXTX5P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6NFXTX5PNN47JU7PB4RHM5LTBE \
  | 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: f34b79dfaf6b79f4d3ef0f22767573091df6d24979b1119e1de0478ddc0ecf6a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dbd87ffc1873ca052630651df582ca1de8acf5ce6ddf5d140579d84b94feb9ed",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-29T08:52:24Z",
    "title_canon_sha256": "a10178241746c60a6e25b7132b24f865559fc9c52bf0982db5631b86592495de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8283",
    "kind": "arxiv",
    "version": 1
  }
}