pith. sign in
Pith Number

pith:2VNCUB3Q

pith:2015:2VNCUB3QWII7K4OQ5EJSZCVDIB
not attested not anchored not stored refs pending

Efron's coins and the Linial arrangement

G\'abor Hetyei

arxiv:1511.04482 v3 · 2015-11-14 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2VNCUB3QWII7K4OQ5EJSZCVDIB}

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 2026-05-18T01:12:30.466996Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d55a2a0770b211f571d0e9132c8aa34073908c5cc9416d6ad3fc503dc3008877

Aliases

arxiv: 1511.04482 · arxiv_version: 1511.04482v3 · doi: 10.48550/arxiv.1511.04482 · pith_short_12: 2VNCUB3QWII7 · pith_short_16: 2VNCUB3QWII7K4OQ · pith_short_8: 2VNCUB3Q
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2VNCUB3QWII7K4OQ5EJSZCVDIB \
  | 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: d55a2a0770b211f571d0e9132c8aa34073908c5cc9416d6ad3fc503dc3008877
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a407fb4d252cab5a4eab1076164c926b4b7b808e24c1db8e60aa78e0f0a8c12a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-14T00:11:41Z",
    "title_canon_sha256": "8a44527ffc963669f7d1b373bc83ac4b15210946e9ba90115953bf9c0873a833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04482",
    "kind": "arxiv",
    "version": 3
  }
}