Pith Number

pith:QFIIMGDS

pith:2018:QFIIMGDSZYBIWXWA7J7RDRUGD3

not attested not anchored not stored refs pending

Reverse Brascamp-Lieb inequality and the dual Bollobas-Thomason inequality

Dimitris-Marios Liakopoulos

arxiv:1802.03364 v1 · 2018-02-09 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFIIMGDSZYBIWXWA7J7RDRUGD3}

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	2026-05-18T00:23:57.819979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8150861872ce028b5ec0fa7f11c6861effaa475ad85f19867263d5c2005dc043

Aliases

arxiv: 1802.03364 · arxiv_version: 1802.03364v1 · doi: 10.48550/arxiv.1802.03364 · pith_short_12: QFIIMGDSZYBI · pith_short_16: QFIIMGDSZYBIWXWA · pith_short_8: QFIIMGDS

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/QFIIMGDSZYBIWXWA7J7RDRUGD3 \
  | 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: 8150861872ce028b5ec0fa7f11c6861effaa475ad85f19867263d5c2005dc043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ba11e2d770e2d8db9b5fc65d79302a1c9f723ca913a24d4201542a7d65e6c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-02-09T17:43:38Z",
    "title_canon_sha256": "96bc58897d4146b6a693a667fdb393ef7fb5f2b7677d8abe2c6923970de3b4d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03364",
    "kind": "arxiv",
    "version": 1
  }
}