Pith Number

pith:YQWFR46H

pith:2011:YQWFR46HVZOX56QU7JDO7NV3ME

not attested not anchored not stored refs pending

Dilations of \Gamma-contractions by solving operator equations

Sourav Pal, Subrata Shyam Roy, Tirthankar Bhattacharyya

arxiv:1108.0774 v4 · 2011-08-03 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQWFR46HVZOX56QU7JDO7NV3ME}

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	2026-05-18T01:36:16.034737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c42c58f3c7ae5d7efa14fa46efb6bb61310f176ceda398d4c11d83fac3fe3c37

Aliases

arxiv: 1108.0774 · arxiv_version: 1108.0774v4 · doi: 10.48550/arxiv.1108.0774 · pith_short_12: YQWFR46HVZOX · pith_short_16: YQWFR46HVZOX56QU · pith_short_8: YQWFR46H

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/YQWFR46HVZOX56QU7JDO7NV3ME \
  | 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: c42c58f3c7ae5d7efa14fa46efb6bb61310f176ceda398d4c11d83fac3fe3c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46689f55ebca879271a5cc0795129285a393865134ad0cee8029a048529d36e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-03T07:52:43Z",
    "title_canon_sha256": "201d27a3ba35a96c717aa58ef432933dfe2556f8a01b3347278ffd09f3014902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0774",
    "kind": "arxiv",
    "version": 4
  }
}