pith. sign in
Pith Number

pith:EYTJ3R33

pith:2015:EYTJ3R337OSHO2IFP4PH5OHNZ3
not attested not anchored not stored refs pending

Intersection theorems for multisets

Alison Purdy, Karen Meagher

arxiv:1504.06657 v2 · 2015-04-24 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EYTJ3R337OSHO2IFP4PH5OHNZ3}

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 2026-05-18T02:02:07.639241Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

26269dc77bfba47769057f1e7eb8edcef1e3b3a522910a2e4863e231e697d79f

Aliases

arxiv: 1504.06657 · arxiv_version: 1504.06657v2 · doi: 10.48550/arxiv.1504.06657 · pith_short_12: EYTJ3R337OSH · pith_short_16: EYTJ3R337OSHO2IF · pith_short_8: EYTJ3R33
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EYTJ3R337OSHO2IFP4PH5OHNZ3 \
  | 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: 26269dc77bfba47769057f1e7eb8edcef1e3b3a522910a2e4863e231e697d79f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5e257e3dc1d03c62c4798000c052aa79f0c919a7dbbea5af1915bbd11e1386b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-24T22:28:58Z",
    "title_canon_sha256": "3c2e5a0c6cdf865388bc0774a12a5badc4356cedb5c9b1b7041b96c138a9ed35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06657",
    "kind": "arxiv",
    "version": 2
  }
}