Pith Number

pith:RAQU3SII

pith:2018:RAQU3SIIFAA5LHNCL3NZUHBU4G

not attested not anchored not stored refs pending

Hypercontractions and factorizations of multipliers in one and several variables

B. Krishna Das, Jaydeb Sarkar, Monojit Bhattacharjee

arxiv:1812.08143 v2 · 2018-12-19 · math.FA · math.CV · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAQU3SIIFAA5LHNCL3NZUHBU4G}

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	2026-05-17T23:45:44.607736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88214dc9082801d59da25edb9a1c34e1927623099e8cebe6aa1c4b4ed603d095

Aliases

arxiv: 1812.08143 · arxiv_version: 1812.08143v2 · doi: 10.48550/arxiv.1812.08143 · pith_short_12: RAQU3SIIFAA5 · pith_short_16: RAQU3SIIFAA5LHNC · pith_short_8: RAQU3SII

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/RAQU3SIIFAA5LHNCL3NZUHBU4G \
  | 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: 88214dc9082801d59da25edb9a1c34e1927623099e8cebe6aa1c4b4ed603d095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a97796fe88098365a31af25c4876bf9639d05e5fcb126bf3cb4d974c534e012",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-19T18:38:53Z",
    "title_canon_sha256": "be825ef81e15f2ddd44aaf22cb0330d5b70959c362d45971d01361421449f3c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08143",
    "kind": "arxiv",
    "version": 2
  }
}