Pith Number

pith:5BRNDB7K

pith:2021:5BRNDB7KCTNEJ3J4E3UR4VJKFN

not attested not anchored not stored refs pending

Global hypercontractivity and its applications

Dor Minzer, Eoin Long, Noam Lifshitz, Peter Keevash

arxiv:2103.04604 v1 · 2021-03-08 · 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{5BRNDB7KCTNEJ3J4E3UR4VJKFN}

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.

Cited by

2 papers in Pith

Transversal Structures in Graph Systems: A Survey

Matchings in permutations

Receipt and verification

First computed	2026-07-05T02:21:07.216067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e862d187ea14da44ed3c26e91e552a2b42183582a246c1a9ed88b4d860346d75

Aliases

arxiv: 2103.04604 · arxiv_version: 2103.04604v1 · doi: 10.48550/arxiv.2103.04604 · pith_short_12: 5BRNDB7KCTNE · pith_short_16: 5BRNDB7KCTNEJ3J4 · pith_short_8: 5BRNDB7K

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/5BRNDB7KCTNEJ3J4E3UR4VJKFN \
  | 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: e862d187ea14da44ed3c26e91e552a2b42183582a246c1a9ed88b4d860346d75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69954c883473bfe7be15eb3c57f715b6e35de8b1c63362576e9a534e3f1a0351",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-03-08T08:55:19Z",
    "title_canon_sha256": "00504e5c4843c286417731737b5dbf3478c12d85045a05649b3fee3acbbe4ca1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.04604",
    "kind": "arxiv",
    "version": 1
  }
}